3306820 has 24 divisors (see below), whose sum is σ = 7576128. Its totient is φ = 1202400.

The previous prime is 3306811. The next prime is 3306839. The reversal of 3306820 is 286033.

3306820 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a d-powerful number, because it can be written as 3⁴ + 3¹³ + 0 + 6⁸ + 8⁵ + 2⁵ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 3306791 and 3306800.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7296 + ... + 7735.

It is an arithmetic number, because the mean of its divisors is an integer number (315672).

Almost surely, 2^3306820 is an apocalyptic number.

It is an amenable number.

3306820 is an abundant number, since it is smaller than the sum of its proper divisors (4269308).

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

3306820 is a wasteful number, since it uses less digits than its factorization.

3306820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15051 (or 15049 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 3306820 is about 1818.4663868216. The cubic root of 3306820 is about 148.9830468828.

The spelling of 3306820 in words is "three million, three hundred six thousand, eight hundred twenty".