3287325600 has 576 divisors, whose sum is σ = 13386643200. Its totient is φ = 772485120.

The previous prime is 3287325599. The next prime is 3287325611. The reversal of 3287325600 is 65237823.

3287325600 is a `hidden beast` number, since 3 + 28 + 7 + 3 + 25 + 600 = 666.

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 95 ways as a sum of consecutive naturals, for example, 6458146 + ... + 6458654.

It is an arithmetic number, because the mean of its divisors is an integer number (23240700).

Almost surely, 2^3287325600 is an apocalyptic number.

3287325600 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 3287325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6693321600).

3287325600 is an abundant number, since it is smaller than the sum of its proper divisors (10099317600).

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

3287325600 is a wasteful number, since it uses less digits than its factorization.

3287325600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3287325600 is about 57335.2038454561. The cubic root of 3287325600 is about 1486.8970755203.

The spelling of 3287325600 in words is "three billion, two hundred eighty-seven million, three hundred twenty-five thousand, six hundred".