3422880 has 72 divisors (see below), whose sum is σ = 11685492. Its totient is φ = 912384.

The previous prime is 3422813. The next prime is 3422917. The reversal of 3422880 is 882243.

It can be written as a sum of positive squares in 2 ways, for example, as 3370896 + 51984 = 1836^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3422880² = 23432214988800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 252 + ... + 2628.

Almost surely, 2^3422880 is an apocalyptic number.

3422880 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 3422880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5842746).

3422880 is an abundant number, since it is smaller than the sum of its proper divisors (8262612).

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

3422880 is a wasteful number, since it uses less digits than its factorization.

3422880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3422880 is about 1850.1026998521. The cubic root of 3422880 is about 150.7060051647.

The spelling of 3422880 in words is "three million, four hundred twenty-two thousand, eight hundred eighty".