34105120 has 96 divisors (see below), whose sum is σ = 94687488. Its totient is φ = 11363328.

The previous prime is 34105117. The next prime is 34105139. The reversal of 34105120 is 2150143.

It is a super-3 number, since 3×34105120³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 34105094 and 34105103.

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, 41029 + ... + 41851.

It is an arithmetic number, because the mean of its divisors is an integer number (986328).

Almost surely, 2^34105120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47343744).

34105120 is an abundant number, since it is smaller than the sum of its proper divisors (60582368).

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

34105120 is a wasteful number, since it uses less digits than its factorization.

34105120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 34105120 is about 5839.9589039650. The cubic root of 34105120 is about 324.2947072154.

Adding to 34105120 its reverse (2150143), we get a palindrome (36255263).

It can be divided in two parts, 34105 and 120, that added together give a square (34225 = 185²).

The spelling of 34105120 in words is "thirty-four million, one hundred five thousand, one hundred twenty".