38306318400 has 567 divisors, whose sum is σ = 159060874791. Its totient is φ = 8718151680.

The previous prime is 38306318389. The next prime is 38306318429. The reversal of 38306318400 is 481360383.

It is a happy number.

The square root of 38306318400 is 195720.

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

38306318400 is a `hidden beast` number, since 38 + 306 + 318 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7543964736 + 30762353664 = 86856^2 + 175392^2 .

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

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 80 ways as a sum of consecutive naturals, for example, 164404684 + ... + 164404916.

Almost surely, 2^38306318400 is an apocalyptic number.

38306318400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38306318400 is the 195720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38306318400

38306318400 is an abundant number, since it is smaller than the sum of its proper divisors (120754556391).

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

38306318400 is a wasteful number, since it uses less digits than its factorization.

38306318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 38306318400 by its sum of digits (36), we get a square (1379027462400 = 1174320²).

38306318400 divided by its sum of digits (36) gives a square (1064064400 = 32620²).

Adding to 38306318400 its reverse (481360383), we get a palindrome (38787678783).

The spelling of 38306318400 in words is "thirty-eight billion, three hundred six million, three hundred eighteen thousand, four hundred".