3492596961216 has 1344 divisors, whose sum is σ = 12230792017920. Its totient is φ = 974182809600.

The previous prime is 3492596961187. The next prime is 3492596961223. The reversal of 3492596961216 is 6121696952943.

3492596961216 is a `hidden beast` number, since 3 + 4 + 9 + 2 + 5 + 9 + 6 + 9 + 612 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18096357216 + ... + 18096357408.

It is an arithmetic number, because the mean of its divisors is an integer number (9100291680).

Almost surely, 2^{3492596961216} is an apocalyptic number.

3492596961216 is a gapful number since it is divisible by the number (36) 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 3492596961216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6115396008960).

3492596961216 is an abundant number, since it is smaller than the sum of its proper divisors (8738195056704).

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

3492596961216 is a wasteful number, since it uses less digits than its factorization.

3492596961216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 356 counting only the distinct ones).

The product of its digits is 37791360, while the sum is 63.

The spelling of 3492596961216 in words is "three trillion, four hundred ninety-two billion, five hundred ninety-six million, nine hundred sixty-one thousand, two hundred sixteen".