31364829720 has 640 divisors, whose sum is σ = 124480540800. Its totient is φ = 6935445504.

The previous prime is 31364829637. The next prime is 31364829751. The reversal of 31364829720 is 2792846313.

31364829720 is a `hidden beast` number, since 31 + 36 + 482 + 97 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 116597746 + ... + 116598014.

It is an arithmetic number, because the mean of its divisors is an integer number (194500845).

Almost surely, 2^31364829720 is an apocalyptic number.

31364829720 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 31364829720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62240270400).

31364829720 is an abundant number, since it is smaller than the sum of its proper divisors (93115711080).

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

31364829720 is a wasteful number, since it uses less digits than its factorization.

31364829720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 31364829720 in words is "thirty-one billion, three hundred sixty-four million, eight hundred twenty-nine thousand, seven hundred twenty".