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3673485312 = 2123726101
BaseRepresentation
bin1101101011110100…
…1111000000000000
3100111000022101111120
43122331033000000
530010403012222
61404303312240
7160014052500
oct33275170000
910430271446
103673485312
11161564a982
128662ab680
1346709c163
1426bc3ba00
1516777a15c
hexdaf4f000

3673485312 has 156 divisors (see below), whose sum is σ = 11395777896. Its totient is φ = 1049395200.

The previous prime is 3673485293. The next prime is 3673485353. The reversal of 3673485312 is 2135843763.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 599062 + ... + 605162.

Almost surely, 23673485312 is an apocalyptic number.

3673485312 is a gapful number since it is divisible by the number (32) 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 3673485312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5697888948).

3673485312 is an abundant number, since it is smaller than the sum of its proper divisors (7722292584).

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

3673485312 is an equidigital number, since it uses as much as digits as its factorization.

3673485312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6142 (or 6113 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 3673485312 is about 60609.2840413084. The cubic root of 3673485312 is about 1542.9769413542.

The spelling of 3673485312 in words is "three billion, six hundred seventy-three million, four hundred eighty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2048 2352 2688 3072 3136 3584 4096 4704 5376 6101 6144 6272 7168 9408 10752 12202 12288 12544 14336 18303 18816 21504 24404 25088 28672 36606 37632 42707 43008 48808 50176 73212 75264 85414 86016 97616 100352 128121 146424 150528 170828 195232 200704 256242 292848 298949 301056 341656 390464 512484 585696 597898 602112 683312 780928 896847 1024968 1171392 1195796 1366624 1561856 1793694 2049936 2342784 2391592 2733248 3123712 3587388 4099872 4685568 4783184 5466496 6247424 7174776 8199744 9371136 9566368 10932992 12494848 14349552 16399488 18742272 19132736 21865984 24989696 28699104 32798976 37484544 38265472 43731968 57398208 65597952 74969088 76530944 87463936 114796416 131195904 153061888 174927872 229592832 262391808 306123776 459185664 524783616 612247552 918371328 1224495104 1836742656 3673485312