31346799120 has 1600 divisors, whose sum is σ = 147005591040. Its totient is φ = 6003818496.

The previous prime is 31346799109. The next prime is 31346799149. The reversal of 31346799120 is 2199764313.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 531301651 + ... + 531301709.

Almost surely, 2^31346799120 is an apocalyptic number.

31346799120 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 31346799120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73502795520).

31346799120 is an abundant number, since it is smaller than the sum of its proper divisors (115658791920).

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

31346799120 is a wasteful number, since it uses less digits than its factorization.

31346799120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 31346799120 in words is "thirty-one billion, three hundred forty-six million, seven hundred ninety-nine thousand, one hundred twenty".