38275009600 has 189 divisors, whose sum is σ = 96934731327. Its totient is φ = 14874900480.

The previous prime is 38275009583. The next prime is 38275009607. The reversal of 38275009600 is 690057283.

The square root of 38275009600 is 195640.

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 209438784 + 38065570816 = 14472^2 + 195104^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38275009607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 524315164 + ... + 524315236.

Almost surely, 2^38275009600 is an apocalyptic number.

38275009600 is the 195640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38275009600

38275009600 is an abundant number, since it is smaller than the sum of its proper divisors (58659721727).

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

38275009600 is an frugal number, since it uses more digits than its factorization.

38275009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 38275009600 in words is "thirty-eight billion, two hundred seventy-five million, nine thousand, six hundred".