3736956800641 has 15 divisors (see below), whose sum is σ = 3971107481551. Its totient is φ = 3516610003456.

The previous prime is 3736956800623. The next prime is 3736956800653. The reversal of 3736956800641 is 1460086596373.

It is a happy number.

The square root of 3736956800641 is 1933121.

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

It can be written as a sum of positive squares in 7 ways, for example, as 109608007041 + 3627348793600 = 331071^2 + 1904560^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3736956800641 is a prime.

It is a super-2 number, since 2×3736956800641² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3736956800441) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 558668625 + ... + 558675313.

Almost surely, 2^{3736956800641} is an apocalyptic number.

3736956800641 is the 1933121-st square number.

3736956800641 is the 966561-st centered octagonal number.

It is an amenable number.

3736956800641 is a deficient number, since it is larger than the sum of its proper divisors (234150680910).

3736956800641 is an frugal number, since it uses more digits than its factorization.

3736956800641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13446 (or 6706 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 58.

The spelling of 3736956800641 in words is "three trillion, seven hundred thirty-six billion, nine hundred fifty-six million, eight hundred thousand, six hundred forty-one".