38785363600 has 135 divisors (see below), whose sum is σ = 95817661083. Its totient is φ = 15087179520.

The previous prime is 38785363567. The next prime is 38785363619. The reversal of 38785363600 is 636358783.

It is a happy number.

The square root of 38785363600 is 196940.

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 5293435536 + 33491928064 = 72756^2 + 183008^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 169368286 + ... + 169368514.

Almost surely, 2^38785363600 is an apocalyptic number.

38785363600 is the 196940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38785363600

38785363600 is an abundant number, since it is smaller than the sum of its proper divisors (57032297483).

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

38785363600 is an equidigital number, since it uses as much as digits as its factorization.

38785363600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

Multiplying 38785363600 by its sum of digits (49), we get a square (1900482816400 = 1378580²).

The spelling of 38785363600 in words is "thirty-eight billion, seven hundred eighty-five million, three hundred sixty-three thousand, six hundred".