38315291520 has 256 divisors, whose sum is σ = 139027207680. Its totient is φ = 8884592640.

The previous prime is 38315291501. The next prime is 38315291527. The reversal of 38315291520 is 2519251383.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38315291527) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 446322 + ... + 525198.

It is an arithmetic number, because the mean of its divisors is an integer number (543075030).

Almost surely, 2^38315291520 is an apocalyptic number.

38315291520 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 38315291520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69513603840).

38315291520 is an abundant number, since it is smaller than the sum of its proper divisors (100711916160).

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

38315291520 is a wasteful number, since it uses less digits than its factorization.

38315291520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78933 (or 78921 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 38315291520 in words is "thirty-eight billion, three hundred fifteen million, two hundred ninety-one thousand, five hundred twenty".