34006128 has 40 divisors (see below), whose sum is σ = 94608528. Its totient is φ = 10463232.

The previous prime is 34006127. The next prime is 34006139. The reversal of 34006128 is 82160043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 34006098 and 34006107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34006127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26625 + ... + 27872.

Almost surely, 2^34006128 is an apocalyptic number.

It is an amenable number.

34006128 is an abundant number, since it is smaller than the sum of its proper divisors (60602400).

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

34006128 is a wasteful number, since it uses less digits than its factorization.

34006128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54521 (or 54515 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 34006128 is about 5831.4773428352. The cubic root of 34006128 is about 323.9806420381.

The spelling of 34006128 in words is "thirty-four million, six thousand, one hundred twenty-eight".