31998238272 has 672 divisors, whose sum is σ = 127085506560. Its totient is φ = 7666513920.

The previous prime is 31998238249. The next prime is 31998238277. The reversal of 31998238272 is 27283289913.

31998238272 is a `hidden beast` number, since 3 + 199 + 8 + 2 + 382 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×31998238272³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 (31998238277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22485753 + ... + 22487175.

Almost surely, 2^31998238272 is an apocalyptic number.

31998238272 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 31998238272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63542753280).

31998238272 is an abundant number, since it is smaller than the sum of its proper divisors (95087268288).

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

31998238272 is a wasteful number, since it uses less digits than its factorization.

31998238272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488 (or 1459 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 31998238272 in words is "thirty-one billion, nine hundred ninety-eight million, two hundred thirty-eight thousand, two hundred seventy-two".