3278880 has 240 divisors, whose sum is σ = 13172544. Its totient is φ = 760320.

The previous prime is 3278867. The next prime is 3278917. The reversal of 3278880 is 888723.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142549 + ... + 142571.

Almost surely, 2^3278880 is an apocalyptic number.

3278880 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 3278880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586272).

3278880 is an abundant number, since it is smaller than the sum of its proper divisors (9893664).

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

3278880 is a wasteful number, since it uses less digits than its factorization.

3278880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 3278880 is about 1810.7677929541. The cubic root of 3278880 is about 148.5622634527.

The spelling of 3278880 in words is "three million, two hundred seventy-eight thousand, eight hundred eighty".