3953768641 has 9 divisors (see below), whose sum is σ = 3985651299. Its totient is φ = 3922140504.

The previous prime is 3953768627. The next prime is 3953768657. The reversal of 3953768641 is 1468673593.

It is a happy number.

The square root of 3953768641 is 62879.

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., 681471025 + 3272297616 = 26105^2 + 57204^2 .

It is not a de Polignac number, because 3953768641 - 2²¹ = 3951671489 is a prime.

It is a Duffinian number.

Its product of digits (3265920) is a multiple of the sum of its prime divisors (504).

It is not an unprimeable number, because it can be changed into a prime (3953768141) by changing a digit.

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, 14273395 + ... + 14273671.

Almost surely, 2^3953768641 is an apocalyptic number.

3953768641 is the 62879-th square number.

3953768641 is the 31440-th centered octagonal number.

It is an amenable number.

3953768641 is a deficient number, since it is larger than the sum of its proper divisors (31882658).

3953768641 is an frugal number, since it uses more digits than its factorization.

3953768641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 504 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 52.

The cubic root of 3953768641 is about 1581.2616959750.

The spelling of 3953768641 in words is "three billion, nine hundred fifty-three million, seven hundred sixty-eight thousand, six hundred forty-one".