3320213001000 has 384 divisors, whose sum is σ = 12574281058560. Its totient is φ = 725909184000.

The previous prime is 3320213000999. The next prime is 3320213001059. The reversal of 3320213001000 is 1003120233.

It is a super-2 number, since 2×3320213001000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2889990 + ... + 3872010.

It is an arithmetic number, because the mean of its divisors is an integer number (32745523590).

Almost surely, 2^{3320213001000} is an apocalyptic number.

3320213001000 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 3320213001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6287140529280).

3320213001000 is an abundant number, since it is smaller than the sum of its proper divisors (9254068057560).

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

3320213001000 is a wasteful number, since it uses less digits than its factorization.

3320213001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982082 (or 982061 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 3320213001000 its reverse (1003120233), we get a palindrome (3321216121233).

The spelling of 3320213001000 in words is "three trillion, three hundred twenty billion, two hundred thirteen million, one thousand".