3676477761 has 16 divisors (see below), whose sum is σ = 5941782720. Its totient is φ = 2228168160.

The previous prime is 3676477741. The next prime is 3676477781. The reversal of 3676477761 is 1677746763.

3676477761 is a `hidden beast` number, since 36 + 76 + 477 + 76 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (3676477741) and next prime (3676477781).

It is not a de Polignac number, because 3676477761 - 2⁵ = 3676477729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3676477698 and 3676477707.

It is not an unprimeable number, because it can be changed into a prime (3676477741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6189060 + ... + 6189653.

It is an arithmetic number, because the mean of its divisors is an integer number (371361420).

Almost surely, 2^3676477761 is an apocalyptic number.

It is an amenable number.

3676477761 is a deficient number, since it is larger than the sum of its proper divisors (2265304959).

3676477761 is a wasteful number, since it uses less digits than its factorization.

3676477761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12378733 (or 12378727 counting only the distinct ones).

The product of its digits is 6223392, while the sum is 54.

The square root of 3676477761 is about 60633.9654071874. The cubic root of 3676477761 is about 1543.3958012128.

The spelling of 3676477761 in words is "three billion, six hundred seventy-six million, four hundred seventy-seven thousand, seven hundred sixty-one".