38376011520 has 2160 divisors, whose sum is σ = 189469969920. Its totient is φ = 7226081280.

The previous prime is 38376011461. The next prime is 38376011561. The reversal of 38376011520 is 2511067383.

38376011520 is a `hidden beast` number, since 3 + 8 + 37 + 601 + 15 + 2 + 0 = 666.

38376011520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-3 number, since 3×38376011520³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1668522229 + ... + 1668522251.

Almost surely, 2^38376011520 is an apocalyptic number.

38376011520 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 38376011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94734984960).

38376011520 is an abundant number, since it is smaller than the sum of its proper divisors (151093958400).

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

38376011520 is a wasteful number, since it uses less digits than its factorization.

38376011520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 70 counting only the distinct ones).

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

The spelling of 38376011520 in words is "thirty-eight billion, three hundred seventy-six million, eleven thousand, five hundred twenty".