39888078400 has 63 divisors (see below), whose sum is σ = 98169264291. Its totient is φ = 15952035840.

The previous prime is 39888078343. The next prime is 39888078403. The reversal of 39888078400 is 487088893.

The square root of 39888078400 is 199720.

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 3404022336 + 36484056064 = 58344^2 + 191008^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (39888078403) by changing a digit.

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, 7986304 + ... + 7991296.

Almost surely, 2^39888078400 is an apocalyptic number.

39888078400 is the 199720-th square number.

It is an amenable number.

39888078400 is an abundant number, since it is smaller than the sum of its proper divisors (58281185891).

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

39888078400 is an frugal number, since it uses more digits than its factorization.

39888078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10008 (or 5000 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 55.

The spelling of 39888078400 in words is "thirty-nine billion, eight hundred eighty-eight million, seventy-eight thousand, four hundred".