3330100020 has 96 divisors (see below), whose sum is σ = 10120900608. Its totient is φ = 813238272.

The previous prime is 3330100013. The next prime is 3330100027. The reversal of 3330100020 is 200010333.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3330100013) and next prime (3330100027).

It is a super-2 number, since 2×3330100020² = 22179132286408000800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3330099969 and 3330100005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3330100027) 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 31 ways as a sum of consecutive naturals, for example, 82252 + ... + 115868.

It is an arithmetic number, because the mean of its divisors is an integer number (105426048).

Almost surely, 2^3330100020 is an apocalyptic number.

3330100020 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 3330100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5060450304).

3330100020 is an abundant number, since it is smaller than the sum of its proper divisors (6790800588).

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

3330100020 is a wasteful number, since it uses less digits than its factorization.

3330100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33769 (or 33767 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 3330100020 is about 57707.0188105398. The cubic root of 3330100020 is about 1493.3184330775.

Adding to 3330100020 its reverse (200010333), we get a palindrome (3530110353).

The spelling of 3330100020 in words is "three billion, three hundred thirty million, one hundred thousand, twenty".