31429944000 has 1680 divisors, whose sum is σ = 147402230976. Its totient is φ = 6469632000.

The previous prime is 31429943953. The next prime is 31429944023. The reversal of 31429944000 is 44992413.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 766583980 + ... + 766584020.

Almost surely, 2^31429944000 is an apocalyptic number.

31429944000 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 31429944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73701115488).

31429944000 is an abundant number, since it is smaller than the sum of its proper divisors (115972286976).

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

31429944000 is a wasteful number, since it uses less digits than its factorization.

31429944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 31429944000 in words is "thirty-one billion, four hundred twenty-nine million, nine hundred forty-four thousand".