3374139484800 has 576 divisors, whose sum is σ = 13775903107200. Its totient is φ = 770321571840.

The previous prime is 3374139484799. The next prime is 3374139484819. The reversal of 3374139484800 is 84849314733.

3374139484800 is a `hidden beast` number, since 3 + 3 + 74 + 1 + 3 + 94 + 8 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×3374139484800² (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 71 ways as a sum of consecutive naturals, for example, 178809766 + ... + 178828634.

It is an arithmetic number, because the mean of its divisors is an integer number (23916498450).

Almost surely, 2^{3374139484800} is an apocalyptic number.

3374139484800 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 3374139484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6887951553600).

3374139484800 is an abundant number, since it is smaller than the sum of its proper divisors (10401763622400).

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

3374139484800 is a wasteful number, since it uses less digits than its factorization.

3374139484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19793 (or 19773 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3374139484800 in words is "three trillion, three hundred seventy-four billion, one hundred thirty-nine million, four hundred eighty-four thousand, eight hundred".