31349934720 has 768 divisors, whose sum is σ = 123502579200. Its totient is φ = 7269875712.

The previous prime is 31349934701. The next prime is 31349934779. The reversal of 31349934720 is 2743994313.

It is a super-2 number, since 2×31349934720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 187724077 + ... + 187724243.

It is an arithmetic number, because the mean of its divisors is an integer number (160810650).

Almost surely, 2^31349934720 is an apocalyptic number.

31349934720 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 31349934720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61751289600).

31349934720 is an abundant number, since it is smaller than the sum of its proper divisors (92152644480).

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

31349934720 is a wasteful number, since it uses less digits than its factorization.

31349934720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 31349934720 in words is "thirty-one billion, three hundred forty-nine million, nine hundred thirty-four thousand, seven hundred twenty".