3304627389072 has 180 divisors, whose sum is σ = 9886985061876. Its totient is φ = 1030140334080.

The previous prime is 3304627389013. The next prime is 3304627389109. The reversal of 3304627389072 is 2709837264033.

3304627389072 is a `hidden beast` number, since 3 + 3 + 0 + 4 + 627 + 3 + 8 + 9 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 826761021696 + 2477866367376 = 909264^2 + 1574124^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6280822 + ... + 6786602.

Almost surely, 2^{3304627389072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3304627389072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4943492530938).

3304627389072 is an abundant number, since it is smaller than the sum of its proper divisors (6582357672804).

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

3304627389072 is a wasteful number, since it uses less digits than its factorization.

3304627389072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505986 (or 505960 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 3304627389072 in words is "three trillion, three hundred four billion, six hundred twenty-seven million, three hundred eighty-nine thousand, seventy-two".