3031668864000 has 1408 divisors, whose sum is σ = 12930646809600. Its totient is φ = 686201241600.

The previous prime is 3031668863987. The next prime is 3031668864067. The reversal of 3031668864000 is 4688661303.

3031668864000 is a `hidden beast` number, since 3 + 0 + 3 + 166 + 8 + 86 + 400 + 0 = 666.

It is a super-2 number, since 2×3031668864000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2733695446 + ... + 2733696554.

Almost surely, 2^{3031668864000} is an apocalyptic number.

3031668864000 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 3031668864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6465323404800).

3031668864000 is an abundant number, since it is smaller than the sum of its proper divisors (9898977945600).

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

3031668864000 is a wasteful number, since it uses less digits than its factorization.

3031668864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 3031668864000 in words is "three trillion, thirty-one billion, six hundred sixty-eight million, eight hundred sixty-four thousand".