34019120 has 40 divisors (see below), whose sum is σ = 83261040. Its totient is φ = 12890880.

The previous prime is 34019113. The next prime is 34019137. The reversal of 34019120 is 2191043.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 34019092 and 34019101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9671 + ... + 12710.

It is an arithmetic number, because the mean of its divisors is an integer number (2081526).

Almost surely, 2^34019120 is an apocalyptic number.

It is an amenable number.

34019120 is an abundant number, since it is smaller than the sum of its proper divisors (49241920).

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

34019120 is a wasteful number, since it uses less digits than its factorization.

34019120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22413 (or 22407 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 34019120 is about 5832.5911908859. The cubic root of 34019120 is about 324.0218955888.

It can be divided in two parts, 3401 and 9120, that added together give a palindrome (12521).

The spelling of 34019120 in words is "thirty-four million, nineteen thousand, one hundred twenty".