3253891680 has 144 divisors (see below), whose sum is σ = 11958120720. Its totient is φ = 800953344.

The previous prime is 3253891633. The next prime is 3253891691. The reversal of 3253891680 is 861983523.

It is a happy number.

3253891680 is a `hidden beast` number, since 32 + 538 + 9 + 1 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3253891680² = 21175622130346444800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68190 + ... + 105629.

It is an arithmetic number, because the mean of its divisors is an integer number (83042505).

Almost surely, 2^3253891680 is an apocalyptic number.

3253891680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3253891680 is an abundant number, since it is smaller than the sum of its proper divisors (8704229040).

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

3253891680 is a wasteful number, since it uses less digits than its factorization.

3253891680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173853 (or 173842 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3253891680 is about 57042.8933347529. The cubic root of 3253891680 is about 1481.8390335863.

The spelling of 3253891680 in words is "three billion, two hundred fifty-three million, eight hundred ninety-one thousand, six hundred eighty".