31890309120 has 512 divisors, whose sum is σ = 116075592000. Its totient is φ = 8408530944.

The previous prime is 31890309109. The next prime is 31890309167. The reversal of 31890309120 is 2190309813.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358318036 + ... + 358318124.

Almost surely, 2^31890309120 is an apocalyptic number.

31890309120 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 31890309120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58037796000).

31890309120 is an abundant number, since it is smaller than the sum of its proper divisors (84185282880).

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

31890309120 is an frugal number, since it uses more digits than its factorization.

31890309120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 31890309120 in words is "thirty-one billion, eight hundred ninety million, three hundred nine thousand, one hundred twenty".