3320820 has 72 divisors (see below), whose sum is σ = 10614240. Its totient is φ = 838080.

The previous prime is 3320803. The next prime is 3320827. The reversal of 3320820 is 280233.

It is a super-2 number, since 2×3320820² = 22055690944800, which contains 22 as substring.

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 = 3320793 and 3320802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3320827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2935 + ... + 3905.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 2^3320820 is an apocalyptic number.

3320820 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 3320820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307120).

3320820 is an abundant number, since it is smaller than the sum of its proper divisors (7293420).

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

3320820 is a wasteful number, since it uses less digits than its factorization.

3320820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3320820 is about 1822.3117186694. The cubic root of 3320820 is about 149.1929994535.

The spelling of 3320820 in words is "three million, three hundred twenty thousand, eight hundred twenty".