38313796900 has 72 divisors (see below), whose sum is σ = 84158676000. Its totient is φ = 15138266880.

The previous prime is 38313796889. The next prime is 38313796921. The reversal of 38313796900 is 969731383.

It is a super-2 number, since 2×38313796900² (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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14407771 + ... + 14410429.

It is an arithmetic number, because the mean of its divisors is an integer number (1168870500).

Almost surely, 2^38313796900 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 38313796900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42079338000).

38313796900 is an abundant number, since it is smaller than the sum of its proper divisors (45844879100).

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

38313796900 is a wasteful number, since it uses less digits than its factorization.

38313796900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4381 (or 4374 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 49.

The spelling of 38313796900 in words is "thirty-eight billion, three hundred thirteen million, seven hundred ninety-six thousand, nine hundred".