3677408761 has 8 divisors (see below), whose sum is σ = 3961806464. Its totient is φ = 3393228240.

The previous prime is 3677408741. The next prime is 3677408767. The reversal of 3677408761 is 1678047763.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3677408761 - 2¹³ = 3677400569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3677408767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18231 + ... + 87676.

It is an arithmetic number, because the mean of its divisors is an integer number (495225808).

Almost surely, 2^3677408761 is an apocalyptic number.

It is an amenable number.

3677408761 is a deficient number, since it is larger than the sum of its proper divisors (284397703).

3677408761 is a wasteful number, since it uses less digits than its factorization.

3677408761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108591.

The product of its (nonzero) digits is 1185408, while the sum is 49.

The square root of 3677408761 is about 60641.6421364066. The cubic root of 3677408761 is about 1543.5260690318.

The spelling of 3677408761 in words is "three billion, six hundred seventy-seven million, four hundred eight thousand, seven hundred sixty-one".