31039241984352 has 768 divisors, whose sum is σ = 106715508480000. Its totient is φ = 8773086744576.

The previous prime is 31039241984339. The next prime is 31039241984357. The reversal of 31039241984352 is 25348914293013.

It is a happy number.

31039241984352 is a `hidden beast` number, since 3 + 10 + 3 + 9 + 2 + 4 + 198 + 435 + 2 = 666.

It is a super-2 number, since 2×31039241984352² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31039241984357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13058156988 + ... + 13058159364.

It is an arithmetic number, because the mean of its divisors is an integer number (138952485000).

Almost surely, 2^{31039241984352} is an apocalyptic number.

31039241984352 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 31039241984352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53357754240000).

31039241984352 is an abundant number, since it is smaller than the sum of its proper divisors (75676266495648).

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

31039241984352 is a wasteful number, since it uses less digits than its factorization.

31039241984352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2873 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 31039241984352 in words is "thirty-one trillion, thirty-nine billion, two hundred forty-one million, nine hundred eighty-four thousand, three hundred fifty-two".