3253007952 has 280 divisors, whose sum is σ = 10002261600. Its totient is φ = 1022886144.

The previous prime is 3253007929. The next prime is 3253007957. The reversal of 3253007952 is 2597003523.

3253007952 is a `hidden beast` number, since 3 + 2 + 530 + 0 + 79 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3253007957) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 19957023 + ... + 19957185.

Almost surely, 2^3253007952 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 3253007952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5001130800).

3253007952 is an abundant number, since it is smaller than the sum of its proper divisors (6749253648).

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

3253007952 is a wasteful number, since it uses less digits than its factorization.

3253007952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 3253007952 is about 57035.1466378408. The cubic root of 3253007952 is about 1481.7048700118.

The spelling of 3253007952 in words is "three billion, two hundred fifty-three million, seven thousand, nine hundred fifty-two".