3156746051400 has 192 divisors, whose sum is σ = 10464147751680. Its totient is φ = 784436736000.

The previous prime is 3156746051357. The next prime is 3156746051471. The reversal of 3156746051400 is 41506476513.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501904 + ... + 2562303.

It is an arithmetic number, because the mean of its divisors is an integer number (54500769540).

Almost surely, 2^{3156746051400} is an apocalyptic number.

3156746051400 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 3156746051400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5232073875840).

3156746051400 is an abundant number, since it is smaller than the sum of its proper divisors (7307401700280).

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

3156746051400 is a wasteful number, since it uses less digits than its factorization.

3156746051400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3064344 (or 3064335 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 3156746051400 in words is "three trillion, one hundred fifty-six billion, seven hundred forty-six million, fifty-one thousand, four hundred".