31348791936 has 384 divisors, whose sum is σ = 117419544000. Its totient is φ = 8142059520.

The previous prime is 31348791899. The next prime is 31348791937. The reversal of 31348791936 is 63919784313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

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 (31348791937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1854370 + ... + 1871198.

Almost surely, 2^31348791936 is an apocalyptic number.

31348791936 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 31348791936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58709772000).

31348791936 is an abundant number, since it is smaller than the sum of its proper divisors (86070752064).

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

31348791936 is a wasteful number, since it uses less digits than its factorization.

31348791936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16877 (or 16852 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The spelling of 31348791936 in words is "thirty-one billion, three hundred forty-eight million, seven hundred ninety-one thousand, nine hundred thirty-six".