3411920 has 20 divisors (see below), whose sum is σ = 7932900. Its totient is φ = 1364736.

The previous prime is 3411907. The next prime is 3411923. The reversal of 3411920 is 291143.

It can be written as a sum of positive squares in 2 ways, for example, as 1658944 + 1752976 = 1288^2 + 1324^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3411892 and 3411901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3411923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21245 + ... + 21404.

It is an arithmetic number, because the mean of its divisors is an integer number (396645).

Almost surely, 2^3411920 is an apocalyptic number.

It is an amenable number.

3411920 is an abundant number, since it is smaller than the sum of its proper divisors (4520980).

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

3411920 is a wasteful number, since it uses less digits than its factorization.

3411920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42662 (or 42656 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 3411920 is about 1847.1383272511. The cubic root of 3411920 is about 150.5449805398.

The spelling of 3411920 in words is "three million, four hundred eleven thousand, nine hundred twenty".