31377406536 has 128 divisors (see below), whose sum is σ = 99654912000. Its totient is φ = 8961005376.

The previous prime is 31377406469. The next prime is 31377406561. The reversal of 31377406536 is 63560477313.

It is a happy number.

31377406536 is a `hidden beast` number, since 3 + 1 + 3 + 77 + 40 + 6 + 536 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 31377406491 and 31377406500.

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, 6055995 + ... + 6061173.

It is an arithmetic number, because the mean of its divisors is an integer number (778554000).

Almost surely, 2^31377406536 is an apocalyptic number.

31377406536 is a gapful number since it is divisible by the number (36) 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 31377406536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49827456000).

31377406536 is an abundant number, since it is smaller than the sum of its proper divisors (68277505464).

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

31377406536 is a wasteful number, since it uses less digits than its factorization.

31377406536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9208 (or 9198 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 31377406536 in words is "thirty-one billion, three hundred seventy-seven million, four hundred six thousand, five hundred thirty-six".