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3375742860 = 2232572839467
BaseRepresentation
bin1100100100110101…
…1011111110001100
322201021001111122100
43021031123332030
523403142232420
61314545515100
7146440224630
oct31115337614
98637044570
103375742860
111482578636
127a2642a90
1341a4b1aa9
14240494dc0
1514b565190
hexc935bf8c

3375742860 has 144 divisors (see below), whose sum is σ = 11745167616. Its totient is φ = 768790656.

The previous prime is 3375742859. The next prime is 3375742871. The reversal of 3375742860 is 682475733.

It is a super-2 number, since 2×33757428602 = 22791279713681959200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 351847 + ... + 361313.

It is an arithmetic number, because the mean of its divisors is an integer number (81563664).

Almost surely, 23375742860 is an apocalyptic number.

3375742860 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3375742860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5872583808).

3375742860 is an abundant number, since it is smaller than the sum of its proper divisors (8369424756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3375742860 is a wasteful number, since it uses less digits than its factorization.

3375742860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9772 (or 9767 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 3375742860 is about 58101.1433622437. The cubic root of 3375742860 is about 1500.1100452598.

The spelling of 3375742860 in words is "three billion, three hundred seventy-five million, seven hundred forty-two thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 283 315 420 566 630 849 1132 1260 1415 1698 1981 2547 2830 3396 3962 4245 5094 5660 5943 7924 8490 9467 9905 10188 11886 12735 16980 17829 18934 19810 23772 25470 28401 29715 35658 37868 39620 47335 50940 56802 59430 66269 71316 85203 89145 94670 113604 118860 132538 142005 170406 178290 189340 198807 265076 284010 331345 340812 356580 397614 426015 568020 596421 662690 795228 852030 994035 1192842 1325380 1704060 1988070 2385684 2679161 2982105 3976140 5358322 5964210 8037483 10716644 11928420 13395805 16074966 18754127 24112449 26791610 32149932 37508254 40187415 48224898 53583220 56262381 75016508 80374830 93770635 96449796 112524762 120562245 160749660 168787143 187541270 225049524 241124490 281311905 337574286 375082540 482248980 562623810 675148572 843935715 1125247620 1687871430 3375742860