3412088064000 has 1920 divisors, whose sum is σ = 15865099810560. Its totient is φ = 708673536000.

The previous prime is 3412088063999. The next prime is 3412088064043. The reversal of 3412088064000 is 4608802143.

3412088064000 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 0 + 8 + 8 + 0 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 159 ways as a sum of consecutive naturals, for example, 1596670932 + ... + 1596673068.

It is an arithmetic number, because the mean of its divisors is an integer number (8263072818).

Almost surely, 2^{3412088064000} is an apocalyptic number.

3412088064000 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 3412088064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7932549905280).

3412088064000 is an abundant number, since it is smaller than the sum of its proper divisors (12453011746560).

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

3412088064000 is a wasteful number, since it uses less digits than its factorization.

3412088064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 3412088064000 in words is "three trillion, four hundred twelve billion, eighty-eight million, sixty-four thousand".