3296880000 has 480 divisors, whose sum is σ = 12530832600. Its totient is φ = 829440000.

The previous prime is 3296879953. The next prime is 3296880017. The reversal of 3296880000 is 886923.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13679880 + ... + 13680120.

Almost surely, 2^3296880000 is an apocalyptic number.

3296880000 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 3296880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6265416300).

3296880000 is an abundant number, since it is smaller than the sum of its proper divisors (9233952600).

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

3296880000 is a wasteful number, since it uses less digits than its factorization.

3296880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3296880000 is about 57418.4639292972. The cubic root of 3296880000 is about 1488.3362056815.

The spelling of 3296880000 in words is "three billion, two hundred ninety-six million, eight hundred eighty thousand".