3305620920 has 256 divisors, whose sum is σ = 11703398400. Its totient is φ = 731289600.

The previous prime is 3305620889. The next prime is 3305620943. The reversal of 3305620920 is 290265033.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3987066 + ... + 3987894.

It is an arithmetic number, because the mean of its divisors is an integer number (45716400).

Almost surely, 2^3305620920 is an apocalyptic number.

3305620920 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 3305620920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851699200).

3305620920 is an abundant number, since it is smaller than the sum of its proper divisors (8397777480).

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

3305620920 is a wasteful number, since it uses less digits than its factorization.

3305620920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 3305620920 is about 57494.5294788991. The cubic root of 3305620920 is about 1489.6503721501.

Adding to 3305620920 its reverse (290265033), we get a palindrome (3595885953).

The spelling of 3305620920 in words is "three billion, three hundred five million, six hundred twenty thousand, nine hundred twenty".