38071814400 has 405 divisors, whose sum is σ = 141290203593. Its totient is φ = 10115020800.

The previous prime is 38071814393. The next prime is 38071814401. The reversal of 38071814400 is 441817083.

The square root of 38071814400 is 195120.

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

38071814400 is a `hidden beast` number, since 38 + 0 + 7 + 181 + 440 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13705853184 + 24365961216 = 117072^2 + 156096^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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

It is not an unprimeable number, because it can be changed into a prime (38071814401) 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 44 ways as a sum of consecutive naturals, for example, 140486265 + ... + 140486535.

Almost surely, 2^38071814400 is an apocalyptic number.

38071814400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38071814400 is the 195120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38071814400

38071814400 is an abundant number, since it is smaller than the sum of its proper divisors (103218389193).

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

38071814400 is an frugal number, since it uses more digits than its factorization.

38071814400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Multiplying 38071814400 by its sum of digits (36), we get a square (1370585318400 = 1170720²).

38071814400 divided by its sum of digits (36) gives a square (1057550400 = 32520²).

The spelling of 38071814400 in words is "thirty-eight billion, seventy-one million, eight hundred fourteen thousand, four hundred".