3251245824 has 144 divisors (see below), whose sum is σ = 9838998400. Its totient is φ = 1058448384.

The previous prime is 3251245793. The next prime is 3251245843. The reversal of 3251245824 is 4285421523.

3251245824 is a `hidden beast` number, since 3 + 2 + 51 + 24 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291747 + ... + 302685.

Almost surely, 2^3251245824 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 3251245824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4919499200).

3251245824 is an abundant number, since it is smaller than the sum of its proper divisors (6587752576).

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

3251245824 is a wasteful number, since it uses less digits than its factorization.

3251245824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11007 (or 10987 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 3251245824 is about 57019.6968073314. The cubic root of 3251245824 is about 1481.4372791888.

The spelling of 3251245824 in words is "three billion, two hundred fifty-one million, two hundred forty-five thousand, eight hundred twenty-four".