3253152000 has 576 divisors, whose sum is σ = 12734152704. Its totient is φ = 720691200.

The previous prime is 3253151989. The next prime is 3253152017. The reversal of 3253152000 is 2513523.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31583949 + ... + 31584051.

It is an arithmetic number, because the mean of its divisors is an integer number (22107904).

Almost surely, 2^3253152000 is an apocalyptic number.

3253152000 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 3253152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6367076352).

3253152000 is an abundant number, since it is smaller than the sum of its proper divisors (9481000704).

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

3253152000 is a wasteful number, since it uses less digits than its factorization.

3253152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 3253152000 is about 57036.4094241564. The cubic root of 3253152000 is about 1481.7267403829.

Adding to 3253152000 its reverse (2513523), we get a palindrome (3255665523).

The spelling of 3253152000 in words is "three billion, two hundred fifty-three million, one hundred fifty-two thousand".