31379634500 has 48 divisors (see below), whose sum is σ = 68635690032. Its totient is φ = 12533068800.

The previous prime is 31379634437. The next prime is 31379634521. The reversal of 31379634500 is 543697313.

It can be written as a sum of positive squares in 8 ways, for example, as 5353556224 + 26026078276 = 73168^2 + 161326^2 .

It is a super-2 number, since 2×31379634500² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 289874 + ... + 383126.

It is an arithmetic number, because the mean of its divisors is an integer number (1429910209).

Almost surely, 2^31379634500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31379634500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34317845016).

31379634500 is an abundant number, since it is smaller than the sum of its proper divisors (37256055532).

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

31379634500 is a wasteful number, since it uses less digits than its factorization.

31379634500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93945 (or 93933 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 41.

The spelling of 31379634500 in words is "thirty-one billion, three hundred seventy-nine million, six hundred thirty-four thousand, five hundred".