3381607224000 has 1792 divisors, whose sum is σ = 13810910330880. Its totient is φ = 806215680000.

The previous prime is 3381607223977. The next prime is 3381607224029. The reversal of 3381607224000 is 4227061833.

It is a happy number.

3381607224000 is a `hidden beast` number, since 3 + 3 + 8 + 1 + 607 + 2 + 2 + 40 + 0 + 0 = 666.

It is a super-2 number, since 2×3381607224000² (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 an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6943751757 + ... + 6943752243.

Almost surely, 2^{3381607224000} is an apocalyptic number.

3381607224000 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 3381607224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6905455165440).

3381607224000 is an abundant number, since it is smaller than the sum of its proper divisors (10429303106880).

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

3381607224000 is a wasteful number, since it uses less digits than its factorization.

3381607224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 3381607224000 in words is "three trillion, three hundred eighty-one billion, six hundred seven million, two hundred twenty-four thousand".