3249289472 has 108 divisors (see below), whose sum is σ = 7678459740. Its totient is φ = 1363169280.

The previous prime is 3249289471. The next prime is 3249289481. The reversal of 3249289472 is 2749829423.

It can be written as a sum of positive squares in 2 ways, for example, as 156150016 + 3093139456 = 12496^2 + 55616^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3249289472.

It is not an unprimeable number, because it can be changed into a prime (3249289471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 398654 + ... + 406722.

Almost surely, 2^3249289472 is an apocalyptic number.

3249289472 is a gapful number since it is divisible by the number (32) 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 3249289472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3839229870).

3249289472 is an abundant number, since it is smaller than the sum of its proper divisors (4429170268).

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

3249289472 is a wasteful number, since it uses less digits than its factorization.

3249289472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8120 (or 8095 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 50.

The square root of 3249289472 is about 57002.5391715141. The cubic root of 3249289472 is about 1481.1400808795.

The spelling of 3249289472 in words is "three billion, two hundred forty-nine million, two hundred eighty-nine thousand, four hundred seventy-two".