34492128 has 96 divisors (see below), whose sum is σ = 100154880. Its totient is φ = 10306560.

The previous prime is 34492127. The next prime is 34492189. The reversal of 34492128 is 82129443.

It is a Cunningham number, because it is equal to 5873²-1.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34492121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93801 + ... + 94167.

It is an arithmetic number, because the mean of its divisors is an integer number (1043280).

Almost surely, 2^34492128 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 34492128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50077440).

34492128 is an abundant number, since it is smaller than the sum of its proper divisors (65662752).

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

34492128 is a wasteful number, since it uses less digits than its factorization.

34492128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 34492128 is about 5872.9999148646. Note that the first 4 decimals coincide. The cubic root of 34492128 is about 325.5167416666.

The spelling of 34492128 in words is "thirty-four million, four hundred ninety-two thousand, one hundred twenty-eight".