368412580900 has 729 divisors, whose sum is σ = 1090257205401. Its totient is φ = 107681333760.

The previous prime is 368412580883. The next prime is 368412580901. The reversal of 368412580900 is 9085214863.

The square root of 368412580900 is 606970.

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

It can be written as a sum of positive squares in 13 ways, for example, as 340806093796 + 27606487104 = 583786^2 + 166152^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (368412580901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 12703882086 + ... + 12703882114.

Almost surely, 2^368412580900 is an apocalyptic number.

368412580900 is the 606970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368412580900

368412580900 is an abundant number, since it is smaller than the sum of its proper divisors (721844624501).

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

368412580900 is a wasteful number, since it uses less digits than its factorization.

368412580900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 368412580900 in words is "three hundred sixty-eight billion, four hundred twelve million, five hundred eighty thousand, nine hundred".