3676667800 has 96 divisors (see below), whose sum is σ = 9454863600. Its totient is φ = 1320814080.

The previous prime is 3676667791. The next prime is 3676667851. The reversal of 3676667800 is 87666763.

It is a super-2 number, since 2×3676667800² = 27035772223113680000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 77091 + ... + 115309.

Almost surely, 2^3676667800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3676667800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4727431800).

3676667800 is an abundant number, since it is smaller than the sum of its proper divisors (5778195800).

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

3676667800 is a wasteful number, since it uses less digits than its factorization.

3676667800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38285 (or 38276 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 49.

The square root of 3676667800 is about 60635.5324871482. The cubic root of 3676667800 is about 1543.4223937252.

The spelling of 3676667800 in words is "three billion, six hundred seventy-six million, six hundred sixty-seven thousand, eight hundred".