3294660096 has 560 divisors, whose sum is σ = 12272693664. Its totient is φ = 859963392.

The previous prime is 3294660071. The next prime is 3294660167. The reversal of 3294660096 is 6900664923.

3294660096 is a `hidden beast` number, since 32 + 9 + 4 + 6 + 600 + 9 + 6 = 666.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 3294660096 = 24³ + 1488³ = 472³ + 1472³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 33965520 + ... + 33965616.

Almost surely, 2^3294660096 is an apocalyptic number.

3294660096 is a gapful number since it is divisible by the number (36) 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 3294660096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6136346832).

3294660096 is an abundant number, since it is smaller than the sum of its proper divisors (8978033568).

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

3294660096 is an frugal number, since it uses more digits than its factorization.

3294660096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3294660096 is about 57399.1297495006. The cubic root of 3294660096 is about 1488.0020811625.

The spelling of 3294660096 in words is "three billion, two hundred ninety-four million, six hundred sixty thousand, ninety-six".