38009401600 has 81 divisors (see below), whose sum is σ = 94117828287. Its totient is φ = 15197521920.

The previous prime is 38009401589. The next prime is 38009401627. The reversal of 38009401600 is 610490083.

The square root of 38009401600 is 194960.

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 5758988544 + 32250413056 = 75888^2 + 179584^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15595582 + ... + 15598018.

Almost surely, 2^38009401600 is an apocalyptic number.

38009401600 is the 194960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38009401600

38009401600 is an abundant number, since it is smaller than the sum of its proper divisors (56108426687).

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

38009401600 is an frugal number, since it uses more digits than its factorization.

38009401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4900 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

Multiplying 38009401600 by its product of nonzero digits (5184), we get a square (197040737894400 = 14037120²).

Adding to 38009401600 its reverse (610490083), we get a palindrome (38619891683).

The spelling of 38009401600 in words is "thirty-eight billion, nine million, four hundred one thousand, six hundred".