3274880 has 128 divisors (see below), whose sum is σ = 9694080. Its totient is φ = 1032192.

The previous prime is 3274879. The next prime is 3274891. The reversal of 3274880 is 884723.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76139 + ... + 76181.

It is an arithmetic number, because the mean of its divisors is an integer number (75735).

Almost surely, 2^3274880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4847040).

3274880 is an abundant number, since it is smaller than the sum of its proper divisors (6419200).

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

3274880 is a wasteful number, since it uses less digits than its factorization.

3274880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 3274880 is about 1809.6629520438. The cubic root of 3274880 is about 148.5018270776.

The spelling of 3274880 in words is "three million, two hundred seventy-four thousand, eight hundred eighty".