38075094932004 has 243 divisors, whose sum is σ = 104973390727569. Its totient is φ = 11631149449920.

The previous prime is 38075094931967. The next prime is 38075094932011. The reversal of 38075094932004 is 40023949057083.

The square root of 38075094932004 is 6170502.

It is a perfect power (a square), and thus also a powerful number.

38075094932004 is a `hidden beast` number, since 3 + 80 + 7 + 50 + 9 + 493 + 20 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5632410492900 + 32442684439104 = 2373270^2 + 5695848^2 .

It is a super-2 number, since 2×38075094932004² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 115030498119 + ... + 115030498449.

Almost surely, 2^{38075094932004} is an apocalyptic number.

38075094932004 is the 6170502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38075094932004

38075094932004 is an abundant number, since it is smaller than the sum of its proper divisors (66898295795565).

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

38075094932004 is a wasteful number, since it uses less digits than its factorization.

38075094932004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 38075094932004 in words is "thirty-eight trillion, seventy-five billion, ninety-four million, nine hundred thirty-two thousand, four".