3396820 has 48 divisors (see below), whose sum is σ = 8588160. Its totient is φ = 1102464.

The previous prime is 3396803. The next prime is 3396829. The reversal of 3396820 is 286933.

It is a happy number.

It is a super-2 number, since 2×3396820² = 23076772224800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3396829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2022 + ... + 3298.

It is an arithmetic number, because the mean of its divisors is an integer number (178920).

Almost surely, 2^3396820 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 3396820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4294080).

3396820 is an abundant number, since it is smaller than the sum of its proper divisors (5191340).

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

3396820 is a wasteful number, since it uses less digits than its factorization.

3396820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 3396820 is about 1843.0463911687. The cubic root of 3396820 is about 150.3225651071.

The spelling of 3396820 in words is "three million, three hundred ninety-six thousand, eight hundred twenty".