3253618368 has 1008 divisors, whose sum is σ = 13772245760. Its totient is φ = 739031040.

The previous prime is 3253618337. The next prime is 3253618369. The reversal of 3253618368 is 8638163523.

3253618368 is a `hidden beast` number, since 3 + 25 + 3 + 618 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is not an unprimeable number, because it can be changed into a prime (3253618369) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 171243063 + ... + 171243081.

Almost surely, 2^3253618368 is an apocalyptic number.

3253618368 is a gapful number since it is divisible by the number (38) 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 3253618368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6886122880).

3253618368 is an abundant number, since it is smaller than the sum of its proper divisors (10518627392).

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

3253618368 is a wasteful number, since it uses less digits than its factorization.

3253618368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 55 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 3253618368 is about 57040.4976135377. The cubic root of 3253618368 is about 1481.7975431937.

The spelling of 3253618368 in words is "three billion, two hundred fifty-three million, six hundred eighteen thousand, three hundred sixty-eight".