3621316608000 has 2880 divisors, whose sum is σ = 17147670478848. Its totient is φ = 713451110400.

The previous prime is 3621316607977. The next prime is 3621316608011. The reversal of 3621316608000 is 8066131263.

3621316608000 is a `hidden beast` number, since 36 + 2 + 1 + 3 + 16 + 608 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×3621316608000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28514303937 + ... + 28514304063.

Almost surely, 2^{3621316608000} is an apocalyptic number.

3621316608000 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 3621316608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8573835239424).

3621316608000 is an abundant number, since it is smaller than the sum of its proper divisors (13526353870848).

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

3621316608000 is a wasteful number, since it uses less digits than its factorization.

3621316608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 3621316608000 in words is "three trillion, six hundred twenty-one billion, three hundred sixteen million, six hundred eight thousand".