3644479538704 has 45 divisors (see below), whose sum is σ = 7257742354317. Its totient is φ = 1772852594112.

The previous prime is 3644479538683. The next prime is 3644479538747. The reversal of 3644479538704 is 4078359744463.

It is a happy number.

The square root of 3644479538704 is 1909052.

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., 3261130339600 + 383349199104 = 1805860^2 + 619152^2 .

It is a super-2 number, since 2×3644479538704² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 282533247 + ... + 282546145.

Almost surely, 2^{3644479538704} is an apocalyptic number.

3644479538704 is the 1909052-nd square number.

It is an amenable number.

3644479538704 is a deficient number, since it is larger than the sum of its proper divisors (3613262815613).

3644479538704 is an frugal number, since it uses more digits than its factorization.

3644479538704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25880 (or 12938 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 64.

Multiplying 3644479538704 by its sum of digits (64), we get a square (233246690477056 = 15272416²).

The spelling of 3644479538704 in words is "three trillion, six hundred forty-four billion, four hundred seventy-nine million, five hundred thirty-eight thousand, seven hundred four".