3392820 has 96 divisors (see below), whose sum is σ = 10832640. Its totient is φ = 881280.

The previous prime is 3392803. The next prime is 3392827. The reversal of 3392820 is 282933.

3392820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3392820² = 23022455104800, 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 not an unprimeable number, because it can be changed into a prime (3392827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32889 + ... + 32991.

It is an arithmetic number, because the mean of its divisors is an integer number (112840).

Almost surely, 2^3392820 is an apocalyptic number.

3392820 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 3392820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416320).

3392820 is an abundant number, since it is smaller than the sum of its proper divisors (7439820).

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

3392820 is a wasteful number, since it uses less digits than its factorization.

3392820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3392820 is about 1841.9609116374. The cubic root of 3392820 is about 150.2635367182.

The spelling of 3392820 in words is "three million, three hundred ninety-two thousand, eight hundred twenty".