3252748320 has 384 divisors, whose sum is σ = 12512102400. Its totient is φ = 785562624.

The previous prime is 3252748309. The next prime is 3252748327. The reversal of 3252748320 is 238472523.

3252748320 is a `hidden beast` number, since 32 + 527 + 4 + 83 + 20 = 666.

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 (3252748327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1886979 + ... + 1888701.

It is an arithmetic number, because the mean of its divisors is an integer number (32583600).

Almost surely, 2^3252748320 is an apocalyptic number.

3252748320 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 3252748320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6256051200).

3252748320 is an abundant number, since it is smaller than the sum of its proper divisors (9259354080).

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

3252748320 is a wasteful number, since it uses less digits than its factorization.

3252748320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1789 (or 1775 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3252748320 is about 57032.8705221822. The cubic root of 3252748320 is about 1481.6654492419.

The spelling of 3252748320 in words is "three billion, two hundred fifty-two million, seven hundred forty-eight thousand, three hundred twenty".