3321920 has 56 divisors (see below), whose sum is σ = 9046464. Its totient is φ = 1138176.

The previous prime is 3321917. The next prime is 3321937. The reversal of 3321920 is 291233.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×3321920² = 22070304972800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3321892 and 3321901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1499 + ... + 2981.

It is an arithmetic number, because the mean of its divisors is an integer number (161544).

Almost surely, 2^3321920 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 3321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523232).

3321920 is an abundant number, since it is smaller than the sum of its proper divisors (5724544).

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

3321920 is a wasteful number, since it uses less digits than its factorization.

3321920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 3321920 is about 1822.6135081251. The cubic root of 3321920 is about 149.2094707048.

The spelling of 3321920 in words is "three million, three hundred twenty-one thousand, nine hundred twenty".