3346080 has 48 divisors (see below), whose sum is σ = 10541664. Its totient is φ = 892160.

The previous prime is 3346061. The next prime is 3346099. The reversal of 3346080 is 806433.

It is an interprime number because it is at equal distance from previous prime (3346061) and next prime (3346099).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3346080² = 22392502732800, which contains 22 as substring.

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 3346080.

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, 3006 + ... + 3965.

It is an arithmetic number, because the mean of its divisors is an integer number (219618).

Almost surely, 2^3346080 is an apocalyptic number.

3346080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3346080 is an abundant number, since it is smaller than the sum of its proper divisors (7195584).

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

3346080 is a wasteful number, since it uses less digits than its factorization.

3346080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6989 (or 6981 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 3346080 is about 1829.2293459269. The cubic root of 3346080 is about 149.5703259321.

The spelling of 3346080 in words is "three million, three hundred forty-six thousand, eighty".