38738112400 has 135 divisors (see below), whose sum is σ = 100911420441. Its totient is φ = 14284408320.

The previous prime is 38738112397. The next prime is 38738112409. The reversal of 38738112400 is 421183783.

The square root of 38738112400 is 196820.

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

It can be written as a sum of positive squares in 13 ways, for example, as 33625290384 + 5112822016 = 183372^2 + 71504^2 .

It is a super-3 number, since 3×38738112400³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38738112400.

It is not an unprimeable number, because it can be changed into a prime (38738112409) 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, 51172822 + ... + 51173578.

Almost surely, 2^38738112400 is an apocalyptic number.

38738112400 is the 196820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38738112400

38738112400 is an abundant number, since it is smaller than the sum of its proper divisors (62173308041).

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

38738112400 is an equidigital number, since it uses as much as digits as its factorization.

38738112400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 38738112400 in words is "thirty-eight billion, seven hundred thirty-eight million, one hundred twelve thousand, four hundred".