3301365120 has 128 divisors (see below), whose sum is σ = 10544294880. Its totient is φ = 878592000.

The previous prime is 3301365113. The next prime is 3301365143. The reversal of 3301365120 is 215631033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3301365120² = 21798023311105228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1152490 + ... + 1155350.

Almost surely, 2^3301365120 is an apocalyptic number.

3301365120 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 3301365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272147440).

3301365120 is an abundant number, since it is smaller than the sum of its proper divisors (7242929760).

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

3301365120 is a wasteful number, since it uses less digits than its factorization.

3301365120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3484 (or 3472 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 3301365120 is about 57457.5070813205. The cubic root of 3301365120 is about 1489.0108174035.

Adding to 3301365120 its reverse (215631033), we get a palindrome (3516996153).

The spelling of 3301365120 in words is "three billion, three hundred one million, three hundred sixty-five thousand, one hundred twenty".