3252916800 has 672 divisors, whose sum is σ = 14029578240. Its totient is φ = 717465600.

The previous prime is 3252916787. The next prime is 3252916801. The reversal of 3252916800 is 86192523.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is not an unprimeable number, because it can be changed into a prime (3252916801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9374227 + ... + 9374573.

Almost surely, 2^3252916800 is an apocalyptic number.

3252916800 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 3252916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7014789120).

3252916800 is an abundant number, since it is smaller than the sum of its proper divisors (10776661440).

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

3252916800 is a wasteful number, since it uses less digits than its factorization.

3252916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3252916800 is about 57034.3475460183. The cubic root of 3252916800 is about 1481.6910303465.

The spelling of 3252916800 in words is "three billion, two hundred fifty-two million, nine hundred sixteen thousand, eight hundred".