3253063680 has 520 divisors, whose sum is σ = 12202558632. Its totient is φ = 828112896.

The previous prime is 3253063669. The next prime is 3253063699. The reversal of 3253063680 is 863603523.

It is a happy number.

3253063680 is a `hidden beast` number, since 3 + 2 + 530 + 63 + 68 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1234538496 + 2018525184 = 35136^2 + 44928^2 .

It is a super-2 number, since 2×3253063680² = 21164846612270284800, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 61378534 + ... + 61378586.

Almost surely, 2^3253063680 is an apocalyptic number.

3253063680 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 3253063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6101279316).

3253063680 is an abundant number, since it is smaller than the sum of its proper divisors (8949494952).

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

3253063680 is an equidigital number, since it uses as much as digits as its factorization.

3253063680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3253063680 is about 57035.6351766157. The cubic root of 3253063680 is about 1481.7133311016.

The spelling of 3253063680 in words is "three billion, two hundred fifty-three million, sixty-three thousand, six hundred eighty".