3245205600 has 864 divisors, whose sum is σ = 14639063040. Its totient is φ = 679311360.

The previous prime is 3245205577. The next prime is 3245205619. The reversal of 3245205600 is 65025423.

3245205600 is a `hidden beast` number, since 3 + 2 + 4 + 52 + 0 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25552737 + ... + 25552863.

It is an arithmetic number, because the mean of its divisors is an integer number (16943360).

Almost surely, 2^3245205600 is an apocalyptic number.

3245205600 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 3245205600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7319531520).

3245205600 is an abundant number, since it is smaller than the sum of its proper divisors (11393857440).

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

3245205600 is a wasteful number, since it uses less digits than its factorization.

3245205600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3245205600 is about 56966.7060659119. The cubic root of 3245205600 is about 1480.5192967083.

The spelling of 3245205600 in words is "three billion, two hundred forty-five million, two hundred five thousand, six hundred".