3253817952 has 720 divisors, whose sum is σ = 12951903888. Its totient is φ = 789626880.

The previous prime is 3253817929. The next prime is 3253817953. The reversal of 3253817952 is 2597183523.

It is a junction number, because it is equal to n+sod(n) for n = 3253817898 and 3253817907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3253817953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 23750428 + ... + 23750564.

Almost surely, 2^3253817952 is an apocalyptic number.

3253817952 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 3253817952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6475951944).

3253817952 is an abundant number, since it is smaller than the sum of its proper divisors (9698085936).

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

3253817952 is a wasteful number, since it uses less digits than its factorization.

3253817952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 177 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 3253817952 is about 57042.2470805630. The cubic root of 3253817952 is about 1481.8278414648.

It can be divided in two parts, 325381 and 7952, that added together give a palindrome (333333).

The spelling of 3253817952 in words is "three billion, two hundred fifty-three million, eight hundred seventeen thousand, nine hundred fifty-two".