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3625693380 = 2233512595333
BaseRepresentation
bin1101100000011011…
…1011000011000100
3100100200101022022000
43120012323003010
524411134142010
61355435105300
7155563612431
oct33006730304
910320338260
103625693380
1115a0678111
128522a2230
1345a207aca
1426575ab88
151634897c0
hexd81bb0c4

3625693380 has 96 divisors (see below), whose sum is σ = 11291011200. Its totient is φ = 965902464.

The previous prime is 3625693349. The next prime is 3625693403. The reversal of 3625693380 is 833965263.

3625693380 is a `hidden beast` number, since 3 + 6 + 2 + 569 + 3 + 3 + 80 = 666.

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 31 ways as a sum of consecutive naturals, for example, 677194 + ... + 682526.

It is an arithmetic number, because the mean of its divisors is an integer number (117614700).

Almost surely, 23625693380 is an apocalyptic number.

3625693380 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 3625693380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5645505600).

3625693380 is an abundant number, since it is smaller than the sum of its proper divisors (7665317820).

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

3625693380 is a wasteful number, since it uses less digits than its factorization.

3625693380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6610 (or 6602 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 3625693380 is about 60213.7308261164. The cubic root of 3625693380 is about 1536.2563506466.

The spelling of 3625693380 in words is "three billion, six hundred twenty-five million, six hundred ninety-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1259 2518 3777 5036 5333 6295 7554 10666 11331 12590 15108 15999 18885 21332 22662 25180 26665 31998 33993 37770 45324 47997 53330 56655 63996 67986 75540 79995 95994 106660 113310 135972 143991 159990 169965 191988 226620 239985 287982 319980 339930 479970 575964 679860 719955 959940 1439910 2879820 6714247 13428494 20142741 26856988 33571235 40285482 60428223 67142470 80570964 100713705 120856446 134284940 181284669 201427410 241712892 302141115 362569338 402854820 604282230 725138676 906423345 1208564460 1812846690 3625693380