3115883232000 has 3456 divisors, whose sum is σ = 15042217881600. Its totient is φ = 600145920000.

The previous prime is 3115883231953. The next prime is 3115883232047. The reversal of 3115883232000 is 2323885113.

It is a happy number.

3115883232000 is a `hidden beast` number, since 3 + 11 + 588 + 32 + 32 + 0 + 0 + 0 = 666.

3115883232000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3115883231953) and next prime (3115883232047).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20911967926 + ... + 20911968074.

It is an arithmetic number, because the mean of its divisors is an integer number (4352493600).

Almost surely, 2^{3115883232000} is an apocalyptic number.

3115883232000 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 3115883232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7521108940800).

3115883232000 is an abundant number, since it is smaller than the sum of its proper divisors (11926334649600).

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

3115883232000 is a wasteful number, since it uses less digits than its factorization.

3115883232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 3115883232000 in words is "three trillion, one hundred fifteen billion, eight hundred eighty-three million, two hundred thirty-two thousand".