3605137638400 has 99 divisors (see below), whose sum is σ = 8937128854549. Its totient is φ = 1441933537280.

The previous prime is 3605137638379. The next prime is 3605137638413. The reversal of 3605137638400 is 48367315063.

The square root of 3605137638400 is 1898720.

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

It can be written as a sum of positive squares in only one way, i.e., 1297849549824 + 2307288088576 = 1139232^2 + 1518976^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 303789267 + ... + 303801133.

Almost surely, 2^{3605137638400} is an apocalyptic number.

3605137638400 is the 1898720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3605137638400

3605137638400 is an abundant number, since it is smaller than the sum of its proper divisors (5331991216149).

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

3605137638400 is an frugal number, since it uses more digits than its factorization.

3605137638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23764 (or 11874 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 46.

The spelling of 3605137638400 in words is "three trillion, six hundred five billion, one hundred thirty-seven million, six hundred thirty-eight thousand, four hundred".