3409680 has 40 divisors (see below), whose sum is σ = 10570752. Its totient is φ = 909184.

The previous prime is 3409663. The next prime is 3409687. The reversal of 3409680 is 869043.

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

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3409687) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6864 + ... + 7343.

Almost surely, 2^3409680 is an apocalyptic number.

3409680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3409680 is an abundant number, since it is smaller than the sum of its proper divisors (7161072).

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

3409680 is a wasteful number, since it uses less digits than its factorization.

3409680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14223 (or 14217 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3409680 is about 1846.5318843713. The cubic root of 3409680 is about 150.5120279714.

The spelling of 3409680 in words is "three million, four hundred nine thousand, six hundred eighty".