3321000252 has 144 divisors (see below), whose sum is σ = 9196098912. Its totient is φ = 1006387200.

The previous prime is 3321000251. The next prime is 3321000259. The reversal of 3321000252 is 2520001233.

It is a super-2 number, since 2×3321000252² = 22058085347568127008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321000251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2552002 + ... + 2553302.

It is an arithmetic number, because the mean of its divisors is an integer number (63861798).

Almost surely, 2^3321000252 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 3321000252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4598049456).

3321000252 is an abundant number, since it is smaller than the sum of its proper divisors (5875098660).

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

3321000252 is a wasteful number, since it uses less digits than its factorization.

3321000252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3321000252 is about 57628.1203233283. The cubic root of 3321000252 is about 1491.9569877175.

Adding to 3321000252 its reverse (2520001233), we get a palindrome (5841001485).

The spelling of 3321000252 in words is "three billion, three hundred twenty-one million, two hundred fifty-two", and thus it is an aban number.