3674166144000 has 704 divisors, whose sum is σ = 13363998216192. Its totient is φ = 888619008000.

The previous prime is 3674166143941. The next prime is 3674166144013. The reversal of 3674166144000 is 4416614763.

It is a tau number, because it is divible by the number of its divisors (704).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2563967284 + ... + 2563968716.

Almost surely, 2^{3674166144000} is an apocalyptic number.

3674166144000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3674166144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6681999108096).

3674166144000 is an abundant number, since it is smaller than the sum of its proper divisors (9689832072192).

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

3674166144000 is a wasteful number, since it uses less digits than its factorization.

3674166144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 3674166144000 in words is "three trillion, six hundred seventy-four billion, one hundred sixty-six million, one hundred forty-four thousand".