3290232960 has 320 divisors, whose sum is σ = 13430070720. Its totient is φ = 751970304.

The previous prime is 3290232949. The next prime is 3290232971. The reversal of 3290232960 is 692320923.

3290232960 is a `hidden beast` number, since 329 + 0 + 2 + 329 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3290232949) and next prime (3290232971).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 358347 + ... + 367413.

It is an arithmetic number, because the mean of its divisors is an integer number (41968971).

Almost surely, 2^3290232960 is an apocalyptic number.

3290232960 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 3290232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6715035360).

3290232960 is an abundant number, since it is smaller than the sum of its proper divisors (10139837760).

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

3290232960 is an equidigital number, since it uses as much as digits as its factorization.

3290232960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9105 (or 9084 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3290232960 is about 57360.5522985963. The cubic root of 3290232960 is about 1487.3352910393.

The spelling of 3290232960 in words is "three billion, two hundred ninety million, two hundred thirty-two thousand, nine hundred sixty".