3253325768 has 256 divisors, whose sum is σ = 8622028800. Its totient is φ = 1110896640.

The previous prime is 3253325731. The next prime is 3253325797. The reversal of 3253325768 is 8675233523.

It is a Harshad number since it is a multiple of its sum of digits (44).

Its product of digits (907200) is a multiple of the sum of its prime divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16514246 + ... + 16514442.

It is an arithmetic number, because the mean of its divisors is an integer number (33679800).

Almost surely, 2^3253325768 is an apocalyptic number.

3253325768 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 3253325768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4311014400).

3253325768 is an abundant number, since it is smaller than the sum of its proper divisors (5368703032).

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

3253325768 is a wasteful number, since it uses less digits than its factorization.

3253325768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 336 counting only the distinct ones).

The product of its digits is 907200, while the sum is 44.

The square root of 3253325768 is about 57037.9327114860. The cubic root of 3253325768 is about 1481.7531221923.

The spelling of 3253325768 in words is "three billion, two hundred fifty-three million, three hundred twenty-five thousand, seven hundred sixty-eight".