3813805276677 has 48 divisors (see below), whose sum is σ = 6205575168000. Its totient is φ = 2236084682400.

The previous prime is 3813805276663. The next prime is 3813805276703. The reversal of 3813805276677 is 7766725083183.

3813805276677 is a `hidden beast` number, since 3 + 8 + 1 + 38 + 0 + 527 + 6 + 6 + 77 = 666.

It is not a de Polignac number, because 3813805276677 - 2¹⁹ = 3813804752389 is a prime.

It is a super-2 number, since 2×3813805276677² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3813805276657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8996748 + ... + 9411114.

It is an arithmetic number, because the mean of its divisors is an integer number (129282816000).

Almost surely, 2^{3813805276677} is an apocalyptic number.

It is an amenable number.

3813805276677 is a deficient number, since it is larger than the sum of its proper divisors (2391769891323).

3813805276677 is a wasteful number, since it uses less digits than its factorization.

3813805276677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417414 (or 417411 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 3813805276677 in words is "three trillion, eight hundred thirteen billion, eight hundred five million, two hundred seventy-six thousand, six hundred seventy-seven".