3410820 has 72 divisors (see below), whose sum is σ = 11828544. Its totient is φ = 779328.

The previous prime is 3410819. The next prime is 3410821. The reversal of 3410820 is 280143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3410819) and next prime (3410821).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3410793 and 3410802.

It is not an unprimeable number, because it can be changed into a prime (3410821) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94 + ... + 2613.

Almost surely, 2^3410820 is an apocalyptic number.

3410820 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 3410820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5914272).

3410820 is an abundant number, since it is smaller than the sum of its proper divisors (8417724).

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

3410820 is a wasteful number, since it uses less digits than its factorization.

3410820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2729 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3410820 is about 1846.8405453639. The cubic root of 3410820 is about 150.5288002778.

Adding to 3410820 its reverse (280143), we get a palindrome (3690963).

The spelling of 3410820 in words is "three million, four hundred ten thousand, eight hundred twenty".