38415998304 has 144 divisors (see below), whose sum is σ = 115150286160. Its totient is φ = 12595253760.

The previous prime is 38415998297. The next prime is 38415998311. The reversal of 38415998304 is 40389951483.

38415998304 is a `hidden beast` number, since 3 + 8 + 41 + 599 + 8 + 3 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (38415998297) and next prime (38415998311).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 433842 + ... + 514830.

It is an arithmetic number, because the mean of its divisors is an integer number (799654765).

Almost surely, 2^38415998304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38415998304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57575143080).

38415998304 is an abundant number, since it is smaller than the sum of its proper divisors (76734287856).

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

38415998304 is an equidigital number, since it uses as much as digits as its factorization.

38415998304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81075 (or 81055 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 38415998304 in words is "thirty-eight billion, four hundred fifteen million, nine hundred ninety-eight thousand, three hundred four".