3335304960 has 216 divisors, whose sum is σ = 12428043264. Its totient is φ = 820961280.

The previous prime is 3335304913. The next prime is 3335304961. The reversal of 3335304960 is 694035333.

3335304960 is a `hidden beast` number, since 3 + 33 + 530 + 4 + 96 + 0 = 666.

It is a super-2 number, since 2×3335304960² = 22248518352401203200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3335304961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138625 + ... + 160895.

Almost surely, 2^3335304960 is an apocalyptic number.

3335304960 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 3335304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6214021632).

3335304960 is an abundant number, since it is smaller than the sum of its proper divisors (9092738304).

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

3335304960 is a wasteful number, since it uses less digits than its factorization.

3335304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22311 (or 22294 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 36.

The square root of 3335304960 is about 57752.0991826271. The cubic root of 3335304960 is about 1494.0960460395.

The spelling of 3335304960 in words is "three billion, three hundred thirty-five million, three hundred four thousand, nine hundred sixty".