3156001115400 has 768 divisors, whose sum is σ = 12994882560000. Its totient is φ = 688352670720.

The previous prime is 3156001115387. The next prime is 3156001115417. The reversal of 3156001115400 is 45111006513.

3156001115400 is a `hidden beast` number, since 3 + 1 + 5 + 6 + 0 + 0 + 111 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 381662466 + ... + 381670734.

It is an arithmetic number, because the mean of its divisors is an integer number (16920420000).

Almost surely, 2^{3156001115400} is an apocalyptic number.

3156001115400 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 3156001115400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6497441280000).

3156001115400 is an abundant number, since it is smaller than the sum of its proper divisors (9838881444600).

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

3156001115400 is a wasteful number, since it uses less digits than its factorization.

3156001115400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8763 (or 8748 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 3156001115400 in words is "three trillion, one hundred fifty-six billion, one million, one hundred fifteen thousand, four hundred".