3413916 has 72 divisors (see below), whose sum is σ = 9710064. Its totient is φ = 1002240.

The previous prime is 3413911. The next prime is 3413929. The reversal of 3413916 is 6193143.

3413916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3413916.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14536 + ... + 14768.

It is an arithmetic number, because the mean of its divisors is an integer number (134862).

Almost surely, 2^3413916 is an apocalyptic number.

3413916 is a gapful number since it is divisible by the number (36) 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 3413916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855032).

3413916 is an abundant number, since it is smaller than the sum of its proper divisors (6296148).

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

3413916 is a wasteful number, since it uses less digits than its factorization.

3413916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 286 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 3413916 is about 1847.6785434702. The cubic root of 3413916 is about 150.5743314824.

The spelling of 3413916 in words is "three million, four hundred thirteen thousand, nine hundred sixteen".