31424001792 has 72 divisors (see below), whose sum is σ = 83754412560. Its totient is φ = 10459545600.

The previous prime is 31424001769. The next prime is 31424001797. The reversal of 31424001792 is 29710042413.

It is a super-2 number, since 2×31424001792² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31424001797) 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, 509184 + ... + 567552.

It is an arithmetic number, because the mean of its divisors is an integer number (1163255730).

Almost surely, 2^31424001792 is an apocalyptic number.

31424001792 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 31424001792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41877206280).

31424001792 is an abundant number, since it is smaller than the sum of its proper divisors (52330410768).

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

31424001792 is an equidigital number, since it uses as much as digits as its factorization.

31424001792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59089 (or 59075 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 31424001792 in words is "thirty-one billion, four hundred twenty-four million, one thousand, seven hundred ninety-two".