3156788920320 has 2400 divisors, whose sum is σ = 14082994464000. Its totient is φ = 674211299328.

The previous prime is 3156788920297. The next prime is 3156788920357. The reversal of 3156788920320 is 230298876513.

3156788920320 is a `hidden beast` number, since 3 + 156 + 7 + 88 + 92 + 0 + 320 = 666.

It is a super-2 number, since 2×3156788920320² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 43243683804 + ... + 43243683876.

It is an arithmetic number, because the mean of its divisors is an integer number (5867914360).

Almost surely, 2^{3156788920320} is an apocalyptic number.

3156788920320 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 3156788920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7041497232000).

3156788920320 is an abundant number, since it is smaller than the sum of its proper divisors (10926205543680).

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

3156788920320 is an frugal number, since it uses more digits than its factorization.

3156788920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3156788920320 in words is "three trillion, one hundred fifty-six billion, seven hundred eighty-eight million, nine hundred twenty thousand, three hundred twenty".