38107316520 has 384 divisors, whose sum is σ = 153353491200. Its totient is φ = 8039056896.

The previous prime is 38107316519. The next prime is 38107316549. The reversal of 38107316520 is 2561370183.

38107316520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5532999 + ... + 5539881.

It is an arithmetic number, because the mean of its divisors is an integer number (399358050).

Almost surely, 2^38107316520 is an apocalyptic number.

38107316520 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 38107316520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76676745600).

38107316520 is an abundant number, since it is smaller than the sum of its proper divisors (115246174680).

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

38107316520 is a wasteful number, since it uses less digits than its factorization.

38107316520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6946 (or 6913 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 38107316520 in words is "thirty-eight billion, one hundred seven million, three hundred sixteen thousand, five hundred twenty".