3416820 has 96 divisors (see below), whose sum is σ = 10838016. Its totient is φ = 796800.

The previous prime is 3416797. The next prime is 3416837. The reversal of 3416820 is 286143.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20377 + ... + 20543.

It is an arithmetic number, because the mean of its divisors is an integer number (112896).

Almost surely, 2^3416820 is an apocalyptic number.

3416820 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 3416820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5419008).

3416820 is an abundant number, since it is smaller than the sum of its proper divisors (7421196).

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

3416820 is a wasteful number, since it uses less digits than its factorization.

3416820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 3416820 is about 1848.4642274061. The cubic root of 3416820 is about 150.6170140334.

The spelling of 3416820 in words is "three million, four hundred sixteen thousand, eight hundred twenty".