3420880 has 40 divisors (see below), whose sum is σ = 8095464. Its totient is φ = 1344000.

The previous prime is 3420877. The next prime is 3420913. The reversal of 3420880 is 880243.

It can be written as a sum of positive squares in 4 ways, for example, as 166464 + 3254416 = 408^2 + 1804^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4530 + ... + 5230.

Almost surely, 2^3420880 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 3420880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047732).

3420880 is an abundant number, since it is smaller than the sum of its proper divisors (4674584).

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

3420880 is a wasteful number, since it uses less digits than its factorization.

3420880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 3420880 is about 1849.5621103386. The cubic root of 3420880 is about 150.6766467750.

The spelling of 3420880 in words is "three million, four hundred twenty thousand, eight hundred eighty".