31406879760 has 160 divisors (see below), whose sum is σ = 98762250240. Its totient is φ = 8255030784.

The previous prime is 31406879759. The next prime is 31406879767. The reversal of 31406879760 is 6797860413.

It is not an unprimeable number, because it can be changed into a prime (31406879767) 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, 15678919 + ... + 15680921.

It is an arithmetic number, because the mean of its divisors is an integer number (617264064).

Almost surely, 2^31406879760 is an apocalyptic number.

31406879760 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 31406879760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49381125120).

31406879760 is an abundant number, since it is smaller than the sum of its proper divisors (67355370480).

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

31406879760 is a wasteful number, since it uses less digits than its factorization.

31406879760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2925 (or 2919 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

It can be divided in two parts, 314068 and 79760, that added together give a triangular number (393828 = T₈₈₇).

The spelling of 31406879760 in words is "thirty-one billion, four hundred six million, eight hundred seventy-nine thousand, seven hundred sixty".