3685983501312 has 1056 divisors, whose sum is σ = 13555004736000. Its totient is φ = 997270880256.

The previous prime is 3685983501301. The next prime is 3685983501337. The reversal of 3685983501312 is 2131053895863.

3685983501312 is a `hidden beast` number, since 3 + 6 + 8 + 59 + 83 + 501 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1621637008 + ... + 1621639280.

Almost surely, 2^{3685983501312} is an apocalyptic number.

3685983501312 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 3685983501312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6777502368000).

3685983501312 is an abundant number, since it is smaller than the sum of its proper divisors (9869021234688).

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

3685983501312 is an equidigital number, since it uses as much as digits as its factorization.

3685983501312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 3685983501312 in words is "three trillion, six hundred eighty-five billion, nine hundred eighty-three million, five hundred one thousand, three hundred twelve".