34120128 has 112 divisors (see below), whose sum is σ = 105338880. Its totient is φ = 9544704.

The previous prime is 34120117. The next prime is 34120147. The reversal of 34120128 is 82102143.

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

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70993 + ... + 71471.

Almost surely, 2^34120128 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 34120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52669440).

34120128 is an abundant number, since it is smaller than the sum of its proper divisors (71218752).

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

34120128 is a wasteful number, since it uses less digits than its factorization.

34120128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 34120128 is about 5841.2437031851. The cubic root of 34120128 is about 324.3422690011.

The spelling of 34120128 in words is "thirty-four million, one hundred twenty thousand, one hundred twenty-eight".