3490080 has 96 divisors (see below), whose sum is σ = 12011328. Its totient is φ = 844800.

The previous prime is 3490051. The next prime is 3490127. The reversal of 3490080 is 800943.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3490080.

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 15 ways as a sum of consecutive naturals, for example, 4950 + ... + 5610.

It is an arithmetic number, because the mean of its divisors is an integer number (125118).

Almost surely, 2^3490080 is an apocalyptic number.

3490080 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 3490080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6005664).

3490080 is an abundant number, since it is smaller than the sum of its proper divisors (8521248).

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

3490080 is a wasteful number, since it uses less digits than its factorization.

3490080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3490080 is about 1868.1755806133. The cubic root of 3490080 is about 151.6858701818.

It can be divided in two parts, 34900 and 80, that added together give a triangular number (34980 = T₂₆₄).

The spelling of 3490080 in words is "three million, four hundred ninety thousand, eighty".