3386880 has 240 divisors, whose sum is σ = 13994640. Its totient is φ = 774144.

The previous prime is 3386863. The next prime is 3386891. The reversal of 3386880 is 886833.

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

It is a super-2 number, since 2×3386880² = 22941912268800, which contains 22 as substring.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 483837 + ... + 483843.

It is an arithmetic number, because the mean of its divisors is an integer number (58311).

Almost surely, 2^3386880 is an apocalyptic number.

3386880 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 3386880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6997320).

3386880 is an abundant number, since it is smaller than the sum of its proper divisors (10607760).

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

3386880 is an equidigital number, since it uses as much as digits as its factorization.

3386880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3386880 is about 1840.3477932174. The cubic root of 3386880 is about 150.1757938962.

The spelling of 3386880 in words is "three million, three hundred eighty-six thousand, eight hundred eighty".