3249372672 has 720 divisors, whose sum is σ = 12480419952. Its totient is φ = 836075520.

The previous prime is 3249372649. The next prime is 3249372677. The reversal of 3249372672 is 2762739423.

3249372672 is a `hidden beast` number, since 32 + 493 + 72 + 67 + 2 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3249372677) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79252972 + ... + 79253012.

Almost surely, 2^3249372672 is an apocalyptic number.

3249372672 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 3249372672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6240209976).

3249372672 is an abundant number, since it is smaller than the sum of its proper divisors (9231047280).

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

3249372672 is an equidigital number, since it uses as much as digits as its factorization.

3249372672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 66 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The square root of 3249372672 is about 57003.2689588939. The cubic root of 3249372672 is about 1481.1527225974.

The spelling of 3249372672 in words is "three billion, two hundred forty-nine million, three hundred seventy-two thousand, six hundred seventy-two".