3321864 has 128 divisors (see below), whose sum is σ = 11424000. Its totient is φ = 876096.

The previous prime is 3321859. The next prime is 3321887. The reversal of 3321864 is 4681233.

It is a happy number.

It is a super-2 number, since 2×3321864² = 22069560868992, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 255522 + ... + 255534.

It is an arithmetic number, because the mean of its divisors is an integer number (89250).

Almost surely, 2^3321864 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 3321864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5712000).

3321864 is an abundant number, since it is smaller than the sum of its proper divisors (8102136).

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

3321864 is a wasteful number, since it uses less digits than its factorization.

3321864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 25 counting only the distinct ones).

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

The square root of 3321864 is about 1822.5981455055. The cubic root of 3321864 is about 149.2086322562.

The spelling of 3321864 in words is "three million, three hundred twenty-one thousand, eight hundred sixty-four".