3414880 has 48 divisors (see below), whose sum is σ = 9223200. Its totient is φ = 1170432.

The previous prime is 3414877. The next prime is 3414883. The reversal of 3414880 is 884143.

It is an interprime number because it is at equal distance from previous prime (3414877) and next prime (3414883).

It is a super-2 number, since 2×3414880² = 23322810828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 405 + ... + 2644.

It is an arithmetic number, because the mean of its divisors is an integer number (192150).

Almost surely, 2^3414880 is an apocalyptic number.

It is an amenable number.

3414880 is an abundant number, since it is smaller than the sum of its proper divisors (5808320).

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

3414880 is a wasteful number, since it uses less digits than its factorization.

3414880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3063 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 3414880 is about 1847.9393929456. The cubic root of 3414880 is about 150.5885028909.

The spelling of 3414880 in words is "three million, four hundred fourteen thousand, eight hundred eighty".