31427383104 has 280 divisors, whose sum is σ = 101613980160. Its totient is φ = 9545942016.

The previous prime is 31427383069. The next prime is 31427383111. The reversal of 31427383104 is 40138372413.

31427383104 is a `hidden beast` number, since 314 + 27 + 3 + 8 + 310 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5321017 + ... + 5326919.

It is an arithmetic number, because the mean of its divisors is an integer number (362907072).

Almost surely, 2^31427383104 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 31427383104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50806990080).

31427383104 is an abundant number, since it is smaller than the sum of its proper divisors (70186597056).

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

31427383104 is a wasteful number, since it uses less digits than its factorization.

31427383104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6019 (or 6000 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

It can be divided in two parts, 3142 and 7383104, that added together give a triangular number (7386246 = T₃₈₄₃).

The spelling of 31427383104 in words is "thirty-one billion, four hundred twenty-seven million, three hundred eighty-three thousand, one hundred four".