31385961984 has 160 divisors (see below), whose sum is σ = 94786433280. Its totient is φ = 9148833792.

The previous prime is 31385961983. The next prime is 31385962001. The reversal of 31385961984 is 48916958313.

It is a super-2 number, since 2×31385961984² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31385961983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338029 + ... + 420755.

It is an arithmetic number, because the mean of its divisors is an integer number (592415208).

Almost surely, 2^31385961984 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 31385961984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47393216640).

31385961984 is an abundant number, since it is smaller than the sum of its proper divisors (63400471296).

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

31385961984 is a wasteful number, since it uses less digits than its factorization.

31385961984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82780 (or 82764 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 57.

The spelling of 31385961984 in words is "thirty-one billion, three hundred eighty-five million, nine hundred sixty-one thousand, nine hundred eighty-four".