38998350400 has 63 divisors (see below), whose sum is σ = 95979756859. Its totient is φ = 15596180480.

The previous prime is 38998350389. The next prime is 38998350401. The reversal of 38998350400 is 405389983.

The square root of 38998350400 is 197480.

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 1653560896 + 37344789504 = 40664^2 + 193248^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (38998350401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7896732 + ... + 7901668.

Almost surely, 2^38998350400 is an apocalyptic number.

38998350400 is the 197480-th square number.

It is an amenable number.

38998350400 is an abundant number, since it is smaller than the sum of its proper divisors (56981406459).

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

38998350400 is an frugal number, since it uses more digits than its factorization.

38998350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9896 (or 4944 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

Multiplying 38998350400 by its sum of digits (49), we get a square (1910919169600 = 1382360²).

The spelling of 38998350400 in words is "thirty-eight billion, nine hundred ninety-eight million, three hundred fifty thousand, four hundred".