3338820 has 84 divisors (see below), whose sum is σ = 10558380. Its totient is φ = 886464.

The previous prime is 3338807. The next prime is 3338849. The reversal of 3338820 is 288333.

It can be written as a sum of positive squares in 2 ways, for example, as 2286144 + 1052676 = 1512^2 + 1026^2 .

It is a super-2 number, since 2×3338820² = 22295437984800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14466 + ... + 14694.

It is an arithmetic number, because the mean of its divisors is an integer number (125695).

Almost surely, 2^3338820 is an apocalyptic number.

3338820 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 3338820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5279190).

3338820 is an abundant number, since it is smaller than the sum of its proper divisors (7219560).

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

3338820 is a wasteful number, since it uses less digits than its factorization.

3338820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3338820 is about 1827.2438260944. The cubic root of 3338820 is about 149.4620732045.

The spelling of 3338820 in words is "three million, three hundred thirty-eight thousand, eight hundred twenty".