3637416721 has 9 divisors (see below), whose sum is σ = 3730834299. Its totient is φ = 3546286800.

The previous prime is 3637416709. The next prime is 3637416737. The reversal of 3637416721 is 1276147363.

The square root of 3637416721 is 60311.

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., 175271121 + 3462145600 = 13239^2 + 58840^2 .

It is not a de Polignac number, because 3637416721 - 2⁵ = 3637416689 is a prime.

It is a Duffinian number.

Its product of digits (127008) is a multiple of the sum of its prime divisors (1512).

It is not an unprimeable number, because it can be changed into a prime (3637416521) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2472016 + ... + 2473486.

Almost surely, 2^3637416721 is an apocalyptic number.

3637416721 is the 60311-st square number.

3637416721 is the 30156-th centered octagonal number.

It is an amenable number.

3637416721 is a deficient number, since it is larger than the sum of its proper divisors (93417578).

3637416721 is an frugal number, since it uses more digits than its factorization.

3637416721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3024 (or 1512 counting only the distinct ones).

The product of its digits is 127008, while the sum is 40.

The cubic root of 3637416721 is about 1537.9103497296.

The spelling of 3637416721 in words is "three billion, six hundred thirty-seven million, four hundred sixteen thousand, seven hundred twenty-one".