3275584000 has 320 divisors, whose sum is σ = 9151414272. Its totient is φ = 1161216000.

The previous prime is 3275583977. The next prime is 3275584003. The reversal of 3275584000 is 4855723.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3275584003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25791937 + ... + 25792063.

Almost surely, 2^3275584000 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 3275584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4575707136).

3275584000 is an abundant number, since it is smaller than the sum of its proper divisors (5875830272).

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

3275584000 is a wasteful number, since it uses less digits than its factorization.

3275584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 3275584000 is about 57232.7179155420. The cubic root of 3275584000 is about 1485.1246744664.

The spelling of 3275584000 in words is "three billion, two hundred seventy-five million, five hundred eighty-four thousand".