3253286400 has 960 divisors, whose sum is σ = 14207424000. Its totient is φ = 650280960.

The previous prime is 3253286369. The next prime is 3253286423. The reversal of 3253286400 is 46823523.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171225591 + ... + 171225609.

It is an arithmetic number, because the mean of its divisors is an integer number (14799400).

Almost surely, 2^3253286400 is an apocalyptic number.

3253286400 is a gapful number since it is divisible by the number (30) 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 3253286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7103712000).

3253286400 is an abundant number, since it is smaller than the sum of its proper divisors (10954137600).

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

3253286400 is a wasteful number, since it uses less digits than its factorization.

3253286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 3253286400 is about 57037.5876067703. The cubic root of 3253286400 is about 1481.7471453451.

The spelling of 3253286400 in words is "three billion, two hundred fifty-three million, two hundred eighty-six thousand, four hundred".