3749563631641 has 9 divisors (see below), whose sum is σ = 3785142942399. Its totient is φ = 3714315724704.

The previous prime is 3749563631617. The next prime is 3749563631659. The reversal of 3749563631641 is 1461363659473.

The square root of 3749563631641 is 1936379.

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., 490441099225 + 3259122532416 = 700315^2 + 1805304^2 .

It is not a de Polignac number, because 3749563631641 - 2¹¹ = 3749563629593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3749563631141) 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, 207183505 + ... + 207201601.

Almost surely, 2^{3749563631641} is an apocalyptic number.

3749563631641 is the 1936379-th square number.

3749563631641 is the 968190-th centered octagonal number.

It is an amenable number.

3749563631641 is a deficient number, since it is larger than the sum of its proper divisors (35579310758).

3749563631641 is an frugal number, since it uses more digits than its factorization.

3749563631641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36408 (or 18204 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 58.

The spelling of 3749563631641 in words is "three trillion, seven hundred forty-nine billion, five hundred sixty-three million, six hundred thirty-one thousand, six hundred forty-one".