38415386880 has 864 divisors, whose sum is σ = 154279157760. Its totient is φ = 8741191680.

The previous prime is 38415386857. The next prime is 38415386881. The reversal of 38415386880 is 8868351483.

38415386880 is a `hidden beast` number, since 3 + 8 + 41 + 538 + 68 + 8 + 0 = 666.

It is a super-2 number, since 2×38415386880² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38415386881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201127585 + ... + 201127775.

It is an arithmetic number, because the mean of its divisors is an integer number (178563840).

Almost surely, 2^38415386880 is an apocalyptic number.

38415386880 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 38415386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77139578880).

38415386880 is an abundant number, since it is smaller than the sum of its proper divisors (115863770880).

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

38415386880 is a wasteful number, since it uses less digits than its factorization.

38415386880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 38415386880 in words is "thirty-eight billion, four hundred fifteen million, three hundred eighty-six thousand, eight hundred eighty".