38675155600 has 45 divisors (see below), whose sum is σ = 92926511803. Its totient is φ = 15468488960.

The previous prime is 38675155583. The next prime is 38675155619. The reversal of 38675155600 is 655157683.

The square root of 38675155600 is 196660.

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

It can be written as a sum of positive squares in 4 ways, for example, as 565868944 + 38109286656 = 23788^2 + 195216^2 .

It is a super-2 number, since 2×38675155600² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3928284 + ... + 3938116.

Almost surely, 2^38675155600 is an apocalyptic number.

38675155600 is the 196660-th square number.

It is an amenable number.

38675155600 is an abundant number, since it is smaller than the sum of its proper divisors (54251356203).

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

38675155600 is an frugal number, since it uses more digits than its factorization.

38675155600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19684 (or 9840 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 46.

The spelling of 38675155600 in words is "thirty-eight billion, six hundred seventy-five million, one hundred fifty-five thousand, six hundred".