3677867680 has 24 divisors (see below), whose sum is σ = 8688962772. Its totient is φ = 1471147008.

The previous prime is 3677867671. The next prime is 3677867689. The reversal of 3677867680 is 867687763.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3677867671) and next prime (3677867689).

It can be written as a sum of positive squares in 2 ways, for example, as 3377469456 + 300398224 = 58116^2 + 17332^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3677867689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11493177 + ... + 11493496.

Almost surely, 2^3677867680 is an apocalyptic number.

It is an amenable number.

3677867680 is an abundant number, since it is smaller than the sum of its proper divisors (5011095092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3677867680 is a wasteful number, since it uses less digits than its factorization.

3677867680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22986688 (or 22986680 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 58.

The square root of 3677867680 is about 60645.4258786267. The cubic root of 3677867680 is about 1543.5902740216.

The spelling of 3677867680 in words is "three billion, six hundred seventy-seven million, eight hundred sixty-seven thousand, six hundred eighty".