3285525600 has 864 divisors, whose sum is σ = 14429076480. Its totient is φ = 686776320.

The previous prime is 3285525583. The next prime is 3285525613. The reversal of 3285525600 is 65255823.

It is a happy number.

3285525600 is a `hidden beast` number, since 3 + 28 + 5 + 5 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45007164 + ... + 45007236.

It is an arithmetic number, because the mean of its divisors is an integer number (16700320).

Almost surely, 2^3285525600 is an apocalyptic number.

3285525600 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 3285525600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7214538240).

3285525600 is an abundant number, since it is smaller than the sum of its proper divisors (11143550880).

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

3285525600 is a wasteful number, since it uses less digits than its factorization.

3285525600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 3285525600 is about 57319.5045337972. The cubic root of 3285525600 is about 1486.6256387247.

The spelling of 3285525600 in words is "three billion, two hundred eighty-five million, five hundred twenty-five thousand, six hundred".