3290664960 has 416 divisors, whose sum is σ = 12785823360. Its totient is φ = 796262400.

The previous prime is 3290664953. The next prime is 3290664991. The reversal of 3290664960 is 694660923.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6082290 + ... + 6082830.

Almost surely, 2^3290664960 is an apocalyptic number.

3290664960 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 3290664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6392911680).

3290664960 is an abundant number, since it is smaller than the sum of its proper divisors (9495158400).

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

3290664960 is a wasteful number, since it uses less digits than its factorization.

3290664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 562 counting only the distinct ones).

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

The square root of 3290664960 is about 57364.3178291174. The cubic root of 3290664960 is about 1487.4003827552.

The spelling of 3290664960 in words is "three billion, two hundred ninety million, six hundred sixty-four thousand, nine hundred sixty".