31642006336 has 56 divisors (see below), whose sum is σ = 63752480064. Its totient is φ = 15579632640.

The previous prime is 31642006309. The next prime is 31642006337. The reversal of 31642006336 is 63360024613.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31642006337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1653141 + ... + 1672171.

It is an arithmetic number, because the mean of its divisors is an integer number (1138437144).

Almost surely, 2^31642006336 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 31642006336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31876240032).

31642006336 is an abundant number, since it is smaller than the sum of its proper divisors (32110473728).

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

31642006336 is a wasteful number, since it uses less digits than its factorization.

31642006336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19439 (or 19429 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 34.

The spelling of 31642006336 in words is "thirty-one billion, six hundred forty-two million, six thousand, three hundred thirty-six".