3245864400 has 600 divisors, whose sum is σ = 12658814784. Its totient is φ = 793497600.

The previous prime is 3245864387. The next prime is 3245864407. The reversal of 3245864400 is 44685423.

3245864400 is a `hidden beast` number, since 3 + 2 + 4 + 5 + 8 + 644 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3245864407) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39106759 + ... + 39106841.

Almost surely, 2^3245864400 is an apocalyptic number.

3245864400 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 3245864400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6329407392).

3245864400 is an abundant number, since it is smaller than the sum of its proper divisors (9412950384).

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

3245864400 is a wasteful number, since it uses less digits than its factorization.

3245864400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 3245864400 is about 56972.4880973264. The cubic root of 3245864400 is about 1480.6194752730.

The spelling of 3245864400 in words is "three billion, two hundred forty-five million, eight hundred sixty-four thousand, four hundred".