31964190720 has 384 divisors, whose sum is σ = 127502968320. Its totient is φ = 6641418240.

The previous prime is 31964190689. The next prime is 31964190743. The reversal of 31964190720 is 2709146913.

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 (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2358684 + ... + 2372196.

It is an arithmetic number, because the mean of its divisors is an integer number (332038980).

Almost surely, 2^31964190720 is an apocalyptic number.

31964190720 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 31964190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63751484160).

31964190720 is an abundant number, since it is smaller than the sum of its proper divisors (95538777600).

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

31964190720 is a wasteful number, since it uses less digits than its factorization.

31964190720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13561 (or 13541 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The spelling of 31964190720 in words is "thirty-one billion, nine hundred sixty-four million, one hundred ninety thousand, seven hundred twenty".