3313330020 has 864 divisors, whose sum is σ = 14305165056. Its totient is φ = 609638400.

The previous prime is 3313329967. The next prime is 3313330061. The reversal of 3313330020 is 200333133.

3313330020 is a `hidden beast` number, since 3 + 313 + 330 + 0 + 20 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3313329975 and 3313330002.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 46666585 + ... + 46666655.

It is an arithmetic number, because the mean of its divisors is an integer number (16556904).

Almost surely, 2^3313330020 is an apocalyptic number.

3313330020 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 3313330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7152582528).

3313330020 is an abundant number, since it is smaller than the sum of its proper divisors (10991835036).

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

3313330020 is a wasteful number, since it uses less digits than its factorization.

3313330020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 3313330020 is about 57561.5324674387. The cubic root of 3313330020 is about 1490.8074868815.

Adding to 3313330020 its reverse (200333133), we get a palindrome (3513663153).

It can be divided in two parts, 3313 and 330020, that added together give a palindrome (333333).

The spelling of 3313330020 in words is "three billion, three hundred thirteen million, three hundred thirty thousand, twenty".