31396792896 has 672 divisors, whose sum is σ = 114725744640. Its totient is φ = 8003432448.

The previous prime is 31396792891. The next prime is 31396792951. The reversal of 31396792896 is 69829769313.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31396792891) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181484266 + ... + 181484438.

Almost surely, 2^31396792896 is an apocalyptic number.

31396792896 is a gapful number since it is divisible by the number (36) 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 31396792896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57362872320).

31396792896 is an abundant number, since it is smaller than the sum of its proper divisors (83328951744).

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

31396792896 is a wasteful number, since it uses less digits than its factorization.

31396792896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 330 counting only the distinct ones).

The product of its digits is 26453952, while the sum is 63.

The spelling of 31396792896 in words is "thirty-one billion, three hundred ninety-six million, seven hundred ninety-two thousand, eight hundred ninety-six".