31424833920 has 256 divisors, whose sum is σ = 104482990080. Its totient is φ = 8024555520.

The previous prime is 31424833903. The next prime is 31424833943. The reversal of 31424833920 is 2933842413.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5770719 + ... + 5776161.

It is an arithmetic number, because the mean of its divisors is an integer number (408136680).

Almost surely, 2^31424833920 is an apocalyptic number.

31424833920 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 31424833920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52241495040).

31424833920 is an abundant number, since it is smaller than the sum of its proper divisors (73058156160).

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

31424833920 is a wasteful number, since it uses less digits than its factorization.

31424833920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5593 (or 5581 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 31424833920 in words is "thirty-one billion, four hundred twenty-four million, eight hundred thirty-three thousand, nine hundred twenty".