3252068352 has 420 divisors, whose sum is σ = 10883063070. Its totient is φ = 966131712.

The previous prime is 3252068341. The next prime is 3252068353. The reversal of 3252068352 is 2538602523.

3252068352 is a `hidden beast` number, since 3 + 2 + 520 + 6 + 83 + 52 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1672482816 + 1579585536 = 40896^2 + 39744^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3252068353) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 112140274 + ... + 112140302.

Almost surely, 2^3252068352 is an apocalyptic number.

3252068352 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 3252068352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5441531535).

3252068352 is an abundant number, since it is smaller than the sum of its proper divisors (7630994718).

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

3252068352 is an equidigital number, since it uses as much as digits as its factorization.

3252068352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3252068352 is about 57026.9090167089. The cubic root of 3252068352 is about 1481.5621975499.

The spelling of 3252068352 in words is "three billion, two hundred fifty-two million, sixty-eight thousand, three hundred fifty-two".