3441059596800 has 1440 divisors, whose sum is σ = 15052554646272. Its totient is φ = 732773744640.

The previous prime is 3441059596781. The next prime is 3441059596853. The reversal of 3441059596800 is 86959501443.

3441059596800 is a `hidden beast` number, since 3 + 4 + 41 + 0 + 5 + 9 + 596 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×3441059596800² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1412005182 + ... + 1412007618.

Almost surely, 2^{3441059596800} is an apocalyptic number.

3441059596800 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 3441059596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7526277323136).

3441059596800 is an abundant number, since it is smaller than the sum of its proper divisors (11611495049472).

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

3441059596800 is a wasteful number, since it uses less digits than its factorization.

3441059596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 3441059596800 in words is "three trillion, four hundred forty-one billion, fifty-nine million, five hundred ninety-six thousand, eight hundred".