3274346064000 has 1024 divisors, whose sum is σ = 12600837550080. Its totient is φ = 743333888000.

The previous prime is 3274346063999. The next prime is 3274346064007. The reversal of 3274346064000 is 4606434723.

It is a self number, because there is not a number n which added to its sum of digits gives 3274346064000.

It is not an unprimeable number, because it can be changed into a prime (3274346064007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2037551197 + ... + 2037552803.

It is an arithmetic number, because the mean of its divisors is an integer number (12305505420).

Almost surely, 2^{3274346064000} is an apocalyptic number.

3274346064000 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 3274346064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6300418775040).

3274346064000 is an abundant number, since it is smaller than the sum of its proper divisors (9326491486080).

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

3274346064000 is a wasteful number, since it uses less digits than its factorization.

3274346064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 39.

The spelling of 3274346064000 in words is "three trillion, two hundred seventy-four billion, three hundred forty-six million, sixty-four thousand".