38005295328 has 864 divisors, whose sum is σ = 151992378720. Its totient is φ = 8848465920.

The previous prime is 38005295327. The next prime is 38005295359. The reversal of 38005295328 is 82359250083.

38005295328 is a `hidden beast` number, since 38 + 0 + 0 + 5 + 295 + 328 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38005295327) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 74666338 + ... + 74666846.

It is an arithmetic number, because the mean of its divisors is an integer number (175917105).

Almost surely, 2^38005295328 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 38005295328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75996189360).

38005295328 is an abundant number, since it is smaller than the sum of its proper divisors (113987083392).

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

38005295328 is a wasteful number, since it uses less digits than its factorization.

38005295328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

It can be divided in two parts, 38005 and 295328, that added together give a palindrome (333333).

The spelling of 38005295328 in words is "thirty-eight billion, five million, two hundred ninety-five thousand, three hundred twenty-eight".