3252441504 has 144 divisors (see below), whose sum is σ = 9289238112. Its totient is φ = 995963904.

The previous prime is 3252441497. The next prime is 3252441509. The reversal of 3252441504 is 4051442523.

It is not an unprimeable number, because it can be changed into a prime (3252441509) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4980442 + ... + 4981094.

It is an arithmetic number, because the mean of its divisors is an integer number (64508598).

Almost surely, 2^3252441504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3252441504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644619056).

3252441504 is an abundant number, since it is smaller than the sum of its proper divisors (6036796608).

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

3252441504 is a wasteful number, since it uses less digits than its factorization.

3252441504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 3252441504 is about 57030.1806414814. The cubic root of 3252441504 is about 1481.6188616678.

The spelling of 3252441504 in words is "three billion, two hundred fifty-two million, four hundred forty-one thousand, five hundred four".