31279668240 has 160 divisors (see below), whose sum is σ = 98559691776. Its totient is φ = 8204613120.

The previous prime is 31279668227. The next prime is 31279668241. The reversal of 31279668240 is 4286697213.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 31279668240.

It is not an unprimeable number, because it can be changed into a prime (31279668241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17542389 + ... + 17544171.

Almost surely, 2^31279668240 is an apocalyptic number.

31279668240 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 31279668240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49279845888).

31279668240 is an abundant number, since it is smaller than the sum of its proper divisors (67280023536).

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

31279668240 is a wasteful number, since it uses less digits than its factorization.

31279668240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2957 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 31279668240 in words is "thirty-one billion, two hundred seventy-nine million, six hundred sixty-eight thousand, two hundred forty".