3156993792 has 216 divisors, whose sum is σ = 9940053760. Its totient is φ = 996572160.

The previous prime is 3156993767. The next prime is 3156993793. The reversal of 3156993792 is 2973996513.

It is a happy number.

3156993792 is a `hidden beast` number, since 3 + 1 + 569 + 9 + 3 + 79 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3156993793) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1180617 + ... + 1183287.

Almost surely, 2^3156993792 is an apocalyptic number.

3156993792 is a gapful number since it is divisible by the number (32) 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 3156993792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4970026880).

3156993792 is an abundant number, since it is smaller than the sum of its proper divisors (6783059968).

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

3156993792 is an equidigital number, since it uses as much as digits as its factorization.

3156993792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2695 counting only the distinct ones).

The product of its digits is 2755620, while the sum is 54.

The square root of 3156993792 is about 56187.1319075818. The cubic root of 3156993792 is about 1466.9812937507.

The spelling of 3156993792 in words is "three billion, one hundred fifty-six million, nine hundred ninety-three thousand, seven hundred ninety-two".