31963349340 has 576 divisors, whose sum is σ = 115907500800. Its totient is φ = 7054000128.

The previous prime is 31963349329. The next prime is 31963349347. The reversal of 31963349340 is 4394336913.

31963349340 is a `hidden beast` number, since 3 + 1 + 9 + 633 + 4 + 9 + 3 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31963349347) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118822726 + ... + 118822994.

It is an arithmetic number, because the mean of its divisors is an integer number (201228300).

Almost surely, 2^31963349340 is an apocalyptic number.

31963349340 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 31963349340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57953750400).

31963349340 is an abundant number, since it is smaller than the sum of its proper divisors (83944151460).

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

31963349340 is a wasteful number, since it uses less digits than its factorization.

31963349340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 31963349340 in words is "thirty-one billion, nine hundred sixty-three million, three hundred forty-nine thousand, three hundred forty".