3438115120 has 40 divisors (see below), whose sum is σ = 8720312400. Its totient is φ = 1250223360.

The previous prime is 3438115027. The next prime is 3438115127. The reversal of 3438115120 is 215118343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3438115120² = 23641271156745228800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3438115127) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1952595 + ... + 1954354.

It is an arithmetic number, because the mean of its divisors is an integer number (218007810).

Almost surely, 2^3438115120 is an apocalyptic number.

It is an amenable number.

3438115120 is an abundant number, since it is smaller than the sum of its proper divisors (5282197280).

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

3438115120 is a wasteful number, since it uses less digits than its factorization.

3438115120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906973 (or 3906967 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 3438115120 is about 58635.4425241253. The cubic root of 3438115120 is about 1509.2926997521.

The spelling of 3438115120 in words is "three billion, four hundred thirty-eight million, one hundred fifteen thousand, one hundred twenty".