3388141120 has 112 divisors (see below), whose sum is σ = 9929945088. Its totient is φ = 1072281600.

The previous prime is 3388141103. The next prime is 3388141147. The reversal of 3388141120 is 211418833.

3388141120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3388141120² = 22959000498069708800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29056 + ... + 87295.

It is an arithmetic number, because the mean of its divisors is an integer number (88660224).

Almost surely, 2^3388141120 is an apocalyptic number.

It is an amenable number.

3388141120 is an abundant number, since it is smaller than the sum of its proper divisors (6541803968).

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

3388141120 is a wasteful number, since it uses less digits than its factorization.

3388141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116388 (or 116378 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 3388141120 is about 58207.7410659441. The cubic root of 3388141120 is about 1501.9443112728.

Adding to 3388141120 its reverse (211418833), we get a palindrome (3599559953).

The spelling of 3388141120 in words is "three billion, three hundred eighty-eight million, one hundred forty-one thousand, one hundred twenty".