3249896688 has 120 divisors (see below), whose sum is σ = 9752309840. Its totient is φ = 1036126080.

The previous prime is 3249896651. The next prime is 3249896701. The reversal of 3249896688 is 8866989423.

3249896688 is a `hidden beast` number, since 3 + 2 + 498 + 9 + 66 + 88 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221418 + ... + 235638.

Almost surely, 2^3249896688 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 3249896688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876154920).

3249896688 is an abundant number, since it is smaller than the sum of its proper divisors (6502413152).

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

3249896688 is a wasteful number, since it uses less digits than its factorization.

3249896688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14284 (or 14249 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The square root of 3249896688 is about 57007.8651415750. The cubic root of 3249896688 is about 1481.2323385813.

The spelling of 3249896688 in words is "three billion, two hundred forty-nine million, eight hundred ninety-six thousand, six hundred eighty-eight".