3301314120 has 96 divisors (see below), whose sum is σ = 11554615800. Its totient is φ = 812630016.

The previous prime is 3301314119. The next prime is 3301314139. The reversal of 3301314120 is 214131033.

3301314120 is a `hidden beast` number, since 330 + 1 + 314 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 917726436 + 2383587684 = 30294^2 + 48822^2 .

It is a super-2 number, since 2×3301314120² = 21797349837822748800, which contains 22 as substring.

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 = 3301314093 and 3301314102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348025 + ... + 357384.

Almost surely, 2^3301314120 is an apocalyptic number.

3301314120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3301314120 is an abundant number, since it is smaller than the sum of its proper divisors (8253301680).

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

3301314120 is a wasteful number, since it uses less digits than its factorization.

3301314120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705439 (or 705432 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3301314120 is about 57457.0632733696. The cubic root of 3301314120 is about 1489.0031498740.

Adding to 3301314120 its reverse (214131033), we get a palindrome (3515445153).

The spelling of 3301314120 in words is "three billion, three hundred one million, three hundred fourteen thousand, one hundred twenty".