3381306120 has 448 divisors, whose sum is σ = 12748752000. Its totient is φ = 801736704.

The previous prime is 3381306091. The next prime is 3381306143. The reversal of 3381306120 is 216031833.

It is a happy number.

3381306120 is a `hidden beast` number, since 3 + 38 + 13 + 0 + 612 + 0 = 666.

It is a super-2 number, since 2×3381306120² = 22866462154298908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9418501 + ... + 9418859.

Almost surely, 2^3381306120 is an apocalyptic number.

3381306120 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 3381306120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374376000).

3381306120 is an abundant number, since it is smaller than the sum of its proper divisors (9367445880).

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

3381306120 is a wasteful number, since it uses less digits than its factorization.

3381306120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3381306120 is about 58148.9993035134. Note that the first 3 decimals coincide. The cubic root of 3381306120 is about 1500.9336587337.

Adding to 3381306120 its reverse (216031833), we get a palindrome (3597337953).

The spelling of 3381306120 in words is "three billion, three hundred eighty-one million, three hundred six thousand, one hundred twenty".