38565104400 has 225 divisors, whose sum is σ = 138534043813. Its totient is φ = 10274601600.

The previous prime is 38565104381. The next prime is 38565104419. The reversal of 38565104400 is 440156583.

It is a happy number.

The square root of 38565104400 is 196380.

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

It is an interprime number because it is at equal distance from previous prime (38565104381) and next prime (38565104419).

It can be written as a sum of positive squares in only one way, i.e., 13883437584 + 24681666816 = 117828^2 + 157104^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 35347855 + ... + 35348945.

Almost surely, 2^38565104400 is an apocalyptic number.

38565104400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38565104400 is the 196380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38565104400

38565104400 is an abundant number, since it is smaller than the sum of its proper divisors (99968939413).

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

38565104400 is an equidigital number, since it uses as much as digits as its factorization.

38565104400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 38565104400 by its sum of digits (36), we get a square (1388343758400 = 1178280²).

38565104400 divided by its sum of digits (36) gives a square (1071252900 = 32730²).

The spelling of 38565104400 in words is "thirty-eight billion, five hundred sixty-five million, one hundred four thousand, four hundred".