3674681618800 has 120 divisors (see below), whose sum is σ = 8942791384640. Its totient is φ = 1450841932800.

The previous prime is 3674681618767. The next prime is 3674681618819. The reversal of 3674681618800 is 88161864763.

It is a happy number.

3674681618800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121739710 + ... + 121769890.

Almost surely, 2^{3674681618800} 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 3674681618800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4471395692320).

3674681618800 is an abundant number, since it is smaller than the sum of its proper divisors (5268109765840).

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

3674681618800 is a wasteful number, since it uses less digits than its factorization.

3674681618800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34131 (or 34120 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 58.

The spelling of 3674681618800 in words is "three trillion, six hundred seventy-four billion, six hundred eighty-one million, six hundred eighteen thousand, eight hundred".