3407920 has 40 divisors (see below), whose sum is σ = 8124480. Its totient is φ = 1328640.

The previous prime is 3407909. The next prime is 3407941. The reversal of 3407920 is 297043.

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

It is a super-2 number, since 2×3407920² = 23227837452800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2761 + ... + 3799.

It is an arithmetic number, because the mean of its divisors is an integer number (203112).

Almost surely, 2^3407920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3407920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062240).

3407920 is an abundant number, since it is smaller than the sum of its proper divisors (4716560).

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

3407920 is a wasteful number, since it uses less digits than its factorization.

3407920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 3407920 is about 1846.0552537776. The cubic root of 3407920 is about 150.4861265417.

The spelling of 3407920 in words is "three million, four hundred seven thousand, nine hundred twenty".