3294928000 has 512 divisors, whose sum is σ = 10550292480. Its totient is φ = 995328000.

The previous prime is 3294927989. The next prime is 3294928037. The reversal of 3294928000 is 8294923.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45135964 + ... + 45136036.

It is an arithmetic number, because the mean of its divisors is an integer number (20606040).

Almost surely, 2^3294928000 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 3294928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5275146240).

3294928000 is an abundant number, since it is smaller than the sum of its proper divisors (7255364480).

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

3294928000 is a wasteful number, since it uses less digits than its factorization.

3294928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 3294928000 is about 57401.4633959797. The cubic root of 3294928000 is about 1488.0424121722.

The spelling of 3294928000 in words is "three billion, two hundred ninety-four million, nine hundred twenty-eight thousand".