31347493632 has 972 divisors, whose sum is σ = 119738533824. Its totient is φ = 7849820160.

The previous prime is 31347493631. The next prime is 31347493649. The reversal of 31347493632 is 23639474313.

It is a happy number.

31347493632 is a `hidden beast` number, since 3 + 1 + 3 + 4 + 7 + 4 + 9 + 3 + 632 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (31347493631) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 591462118 + ... + 591462170.

It is an arithmetic number, because the mean of its divisors is an integer number (123187792).

Almost surely, 2^31347493632 is an apocalyptic number.

31347493632 is a gapful number since it is divisible by the number (32) 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 31347493632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59869266912).

31347493632 is an abundant number, since it is smaller than the sum of its proper divisors (88391040192).

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

31347493632 is a wasteful number, since it uses less digits than its factorization.

31347493632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 109 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The spelling of 31347493632 in words is "thirty-one billion, three hundred forty-seven million, four hundred ninety-three thousand, six hundred thirty-two".