3346977120 has 96 divisors (see below), whose sum is σ = 10641673728. Its totient is φ = 884172288.

The previous prime is 3346977047. The next prime is 3346977163. The reversal of 3346977120 is 217796433.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3346977120² = 22404511683606988800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18777 + ... + 83943.

It is an arithmetic number, because the mean of its divisors is an integer number (110850768).

Almost surely, 2^3346977120 is an apocalyptic number.

3346977120 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 3346977120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5320836864).

3346977120 is an abundant number, since it is smaller than the sum of its proper divisors (7294696608).

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

3346977120 is a wasteful number, since it uses less digits than its factorization.

3346977120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65292 (or 65284 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The square root of 3346977120 is about 57853.0649144883. The cubic root of 3346977120 is about 1495.8369187476.

The spelling of 3346977120 in words is "three billion, three hundred forty-six million, nine hundred seventy-seven thousand, one hundred twenty".