38649633408 has 320 divisors, whose sum is σ = 124999776000. Its totient is φ = 11809566720.

The previous prime is 38649633371. The next prime is 38649633431. The reversal of 38649633408 is 80433694683.

38649633408 is a `hidden beast` number, since 3 + 86 + 496 + 33 + 40 + 8 = 666.

38649633408 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6103588 + ... + 6109916.

It is an arithmetic number, because the mean of its divisors is an integer number (390624300).

Almost surely, 2^38649633408 is an apocalyptic number.

38649633408 is a gapful number since it is divisible by the number (38) 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 38649633408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62499888000).

38649633408 is an abundant number, since it is smaller than the sum of its proper divisors (86350142592).

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

38649633408 is a wasteful number, since it uses less digits than its factorization.

38649633408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6405 (or 6384 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

It can be divided in two parts, 3864963 and 3408, that added together give a triangular number (3868371 = T₂₇₈₁).

The spelling of 38649633408 in words is "thirty-eight billion, six hundred forty-nine million, six hundred thirty-three thousand, four hundred eight".