34014120 has 64 divisors (see below), whose sum is σ = 116622720. Its totient is φ = 7774464.

The previous prime is 34014119. The next prime is 34014143. The reversal of 34014120 is 2141043.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34014120.

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, 19407 + ... + 21086.

It is an arithmetic number, because the mean of its divisors is an integer number (1822230).

Almost surely, 2^34014120 is an apocalyptic number.

34014120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34014120 is an abundant number, since it is smaller than the sum of its proper divisors (82608600).

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

34014120 is a wasteful number, since it uses less digits than its factorization.

34014120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40514 (or 40510 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 34014120 is about 5832.1625491750. The cubic root of 34014120 is about 324.0060203119.

Adding to 34014120 its reverse (2141043), we get a palindrome (36155163).

The spelling of 34014120 in words is "thirty-four million, fourteen thousand, one hundred twenty".