3675958763841 has 135 divisors (see below), whose sum is σ = 6919898102073. Its totient is φ = 1938138995520.

The previous prime is 3675958763831. The next prime is 3675958763843. The reversal of 3675958763841 is 1483678595763.

It is a happy number.

The square root of 3675958763841 is 1917279.

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

3675958763841 is a `hidden beast` number, since 3 + 6 + 7 + 5 + 9 + 587 + 6 + 38 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 200359188225 + 3475599575616 = 447615^2 + 1864296^2 .

It is not a de Polignac number, because 3675958763841 - 2⁵ = 3675958763809 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3675958763841.

It is not an unprimeable number, because it can be changed into a prime (3675958763843) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1570250331 + ... + 1570252671.

Almost surely, 2^{3675958763841} is an apocalyptic number.

3675958763841 is the 1917279-th square number.

3675958763841 is the 958640-th centered octagonal number.

It is an amenable number.

3675958763841 is a deficient number, since it is larger than the sum of its proper divisors (3243939338232).

3675958763841 is an frugal number, since it uses more digits than its factorization.

3675958763841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4734 (or 2364 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 72.

The spelling of 3675958763841 in words is "three trillion, six hundred seventy-five billion, nine hundred fifty-eight million, seven hundred sixty-three thousand, eight hundred forty-one".