3253944960 has 768 divisors, whose sum is σ = 13811616000. Its totient is φ = 731566080.

The previous prime is 3253944943. The next prime is 3253944973. The reversal of 3253944960 is 694493523.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53343330 + ... + 53343390.

It is an arithmetic number, because the mean of its divisors is an integer number (17983875).

Almost surely, 2^3253944960 is an apocalyptic number.

3253944960 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 3253944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6905808000).

3253944960 is an abundant number, since it is smaller than the sum of its proper divisors (10557671040).

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

3253944960 is an frugal number, since it uses more digits than its factorization.

3253944960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 3253944960 is about 57043.3603498251. The cubic root of 3253944960 is about 1481.8471215377.

The spelling of 3253944960 in words is "three billion, two hundred fifty-three million, nine hundred forty-four thousand, nine hundred sixty".