3428880 has 160 divisors (see below), whose sum is σ = 13165824. Its totient is φ = 718848.

The previous prime is 3428869. The next prime is 3428891. The reversal of 3428880 is 888243.

It is an interprime number because it is at equal distance from previous prime (3428869) and next prime (3428891).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21762 + ... + 21918.

Almost surely, 2^3428880 is an apocalyptic number.

3428880 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 3428880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6582912).

3428880 is an abundant number, since it is smaller than the sum of its proper divisors (9736944).

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

3428880 is a wasteful number, since it uses less digits than its factorization.

3428880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 3428880 is about 1851.7235214794. The cubic root of 3428880 is about 150.7940117748.

The spelling of 3428880 in words is "three million, four hundred twenty-eight thousand, eight hundred eighty".