34666128 has 180 divisors, whose sum is σ = 119908620. Its totient is φ = 9321984.

The previous prime is 34666109. The next prime is 34666139. The reversal of 34666128 is 82166643.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 19079424 + 15586704 = 4368^2 + 3948^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34666092 and 34666101.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2039176 + ... + 2039192.

It is an arithmetic number, because the mean of its divisors is an integer number (666159).

Almost surely, 2^34666128 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 34666128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59954310).

34666128 is an abundant number, since it is smaller than the sum of its proper divisors (85242492).

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

34666128 is a wasteful number, since it uses less digits than its factorization.

34666128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 29 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 34666128 is about 5887.7948333820. The cubic root of 34666128 is about 326.0631942430.

The spelling of 34666128 in words is "thirty-four million, six hundred sixty-six thousand, one hundred twenty-eight".