3252135168 has 108 divisors (see below), whose sum is σ = 9700241460. Its totient is φ = 1046642688.

The previous prime is 3252135127. The next prime is 3252135221. The reversal of 3252135168 is 8615312523.

It can be written as a sum of positive squares in 2 ways, for example, as 707134464 + 2545000704 = 26592^2 + 50448^2 .

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 42480 + ... + 91152.

Almost surely, 2^3252135168 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 3252135168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4850120730).

3252135168 is an abundant number, since it is smaller than the sum of its proper divisors (6448106292).

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

3252135168 is a wasteful number, since it uses less digits than its factorization.

3252135168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48724 (or 48707 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 3252135168 is about 57027.4948424004. The cubic root of 3252135168 is about 1481.5723440547.

The spelling of 3252135168 in words is "three billion, two hundred fifty-two million, one hundred thirty-five thousand, one hundred sixty-eight".