3612608256000 has 768 divisors, whose sum is σ = 12874011696000. Its totient is φ = 896217907200.

The previous prime is 3612608255999. The next prime is 3612608256031. The reversal of 3612608256000 is 6528062163.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×3612608256000² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3612608256000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1161982446 + ... + 1161985554.

Almost surely, 2^{3612608256000} is an apocalyptic number.

3612608256000 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 3612608256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6437005848000).

3612608256000 is an abundant number, since it is smaller than the sum of its proper divisors (9261403440000).

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

3612608256000 is a wasteful number, since it uses less digits than its factorization.

3612608256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 3612608256000 in words is "three trillion, six hundred twelve billion, six hundred eight million, two hundred fifty-six thousand".