3408720 has 80 divisors (see below), whose sum is σ = 12082560. Its totient is φ = 778752.

The previous prime is 3408719. The next prime is 3408731. The reversal of 3408720 is 278043.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

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, 666 + ... + 2694.

It is an arithmetic number, because the mean of its divisors is an integer number (151032).

Almost surely, 2^3408720 is an apocalyptic number.

3408720 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 3408720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041280).

3408720 is an abundant number, since it is smaller than the sum of its proper divisors (8673840).

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

3408720 is a wasteful number, since it uses less digits than its factorization.

3408720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 3408720 is about 1846.2719193012. The cubic root of 3408720 is about 150.4979010241.

The spelling of 3408720 in words is "three million, four hundred eight thousand, seven hundred twenty".