3312430920 has 192 divisors, whose sum is σ = 11137230000. Its totient is φ = 853161984.

The previous prime is 3312430907. The next prime is 3312430939. The reversal of 3312430920 is 290342133.

It is a happy number.

3312430920 is a `hidden beast` number, since 331 + 2 + 4 + 309 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1508390244 + 1804040676 = 38838^2 + 42474^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1983846 + ... + 1985514.

Almost surely, 2^3312430920 is an apocalyptic number.

3312430920 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 3312430920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5568615000).

3312430920 is an abundant number, since it is smaller than the sum of its proper divisors (7824799080).

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

3312430920 is a wasteful number, since it uses less digits than its factorization.

3312430920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1872 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3312430920 is about 57553.7220342872. The cubic root of 3312430920 is about 1490.6726269608.

The spelling of 3312430920 in words is "three billion, three hundred twelve million, four hundred thirty thousand, nine hundred twenty".