3458880 has 84 divisors (see below), whose sum is σ = 11907012. Its totient is φ = 921600.

The previous prime is 3458879. The next prime is 3458891. The reversal of 3458880 is 888543.

It can be written as a sum of positive squares in 2 ways, for example, as 389376 + 3069504 = 624^2 + 1752^2 .

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 11 ways as a sum of consecutive naturals, for example, 2280 + ... + 3480.

Almost surely, 2^3458880 is an apocalyptic number.

3458880 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 3458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5953506).

3458880 is an abundant number, since it is smaller than the sum of its proper divisors (8448132).

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

3458880 is a wasteful number, since it uses less digits than its factorization.

3458880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 3458880 is about 1859.8064415417. The cubic root of 3458880 is about 151.2325116952.

The spelling of 3458880 in words is "three million, four hundred fifty-eight thousand, eight hundred eighty".