36308540304 has 225 divisors, whose sum is σ = 108046793547. Its totient is φ = 11771293248.

The previous prime is 36308540291. The next prime is 36308540321. The reversal of 36308540304 is 40304580363.

The square root of 36308540304 is 190548.

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

36308540304 is a `hidden beast` number, since 3 + 6 + 308 + 5 + 40 + 304 = 666.

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

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, 459601737 + ... + 459601815.

Almost surely, 2^36308540304 is an apocalyptic number.

36308540304 is the 190548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36308540304

36308540304 is an abundant number, since it is smaller than the sum of its proper divisors (71738253243).

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

36308540304 is an frugal number, since it uses more digits than its factorization.

36308540304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Multiplying 36308540304 by its sum of digits (36), we get a square (1307107450944 = 1143288²).

36308540304 divided by its sum of digits (36) gives a square (1008570564 = 31758²).

The spelling of 36308540304 in words is "thirty-six billion, three hundred eight million, five hundred forty thousand, three hundred four".