3342820 has 72 divisors (see below), whose sum is σ = 8116416. Its totient is φ = 1153152.

The previous prime is 3342809. The next prime is 3342821. The reversal of 3342820 is 282433.

3342820 = 194² + 195² + ... + 258².

It is a super-2 number, since 2×3342820² = 22348891104800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3342791 and 3342800.

It is not an unprimeable number, because it can be changed into a prime (3342821) 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, 77719 + ... + 77761.

It is an arithmetic number, because the mean of its divisors is an integer number (112728).

Almost surely, 2^3342820 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 3342820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4058208).

3342820 is an abundant number, since it is smaller than the sum of its proper divisors (4773596).

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

3342820 is a wasteful number, since it uses less digits than its factorization.

3342820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 3342820 is about 1828.3380431419. The cubic root of 3342820 is about 149.5217359701.

The spelling of 3342820 in words is "three million, three hundred forty-two thousand, eight hundred twenty".