31949687952 has 600 divisors, whose sum is σ = 117037951800. Its totient is φ = 8389495296.

The previous prime is 31949687951. The next prime is 31949687963. The reversal of 31949687952 is 25978694913.

31949687952 is a `hidden beast` number, since 3 + 19 + 496 + 87 + 9 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3272297616 + 28677390336 = 57204^2 + 169344^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 31949687952.

It is not an unprimeable number, because it can be changed into a prime (31949687951) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 139518174 + ... + 139518402.

It is an arithmetic number, because the mean of its divisors is an integer number (195063253).

Almost surely, 2^31949687952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31949687952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58518975900).

31949687952 is an abundant number, since it is smaller than the sum of its proper divisors (85088263848).

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

31949687952 is a wasteful number, since it uses less digits than its factorization.

31949687952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 254 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 31949687952 in words is "thirty-one billion, nine hundred forty-nine million, six hundred eighty-seven thousand, nine hundred fifty-two".