368305761924 has 81 divisors (see below), whose sum is σ = 954643117701. Its totient is φ = 119725680960.

The previous prime is 368305761913. The next prime is 368305761973. The reversal of 368305761924 is 429167503863.

The square root of 368305761924 is 606882.

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

368305761924 is a `hidden beast` number, since 3 + 6 + 8 + 30 + 576 + 19 + 24 = 666.

368305761924 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 17747035524 + 350558726400 = 133218^2 + 592080^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 149291739 + ... + 149294205.

It is a 1-persistent number, because it is pandigital, but 2⋅368305761924 = 736611523848 is not.

Almost surely, 2^368305761924 is an apocalyptic number.

368305761924 is the 606882-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368305761924

368305761924 is an abundant number, since it is smaller than the sum of its proper divisors (586337355777).

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

368305761924 is an equidigital number, since it uses as much as digits as its factorization.

368305761924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5026 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 368305761924 in words is "three hundred sixty-eight billion, three hundred five million, seven hundred sixty-one thousand, nine hundred twenty-four".