34271328 has 96 divisors (see below), whose sum is σ = 110750976. Its totient is φ = 9036288.

The previous prime is 34271327. The next prime is 34271329. The reversal of 34271328 is 82317243.

It is an interprime number because it is at equal distance from previous prime (34271327) and next prime (34271329).

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

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 = 34271295 and 34271304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34271323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6775 + ... + 10697.

It is an arithmetic number, because the mean of its divisors is an integer number (1153656).

Almost surely, 2^34271328 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 34271328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55375488).

34271328 is an abundant number, since it is smaller than the sum of its proper divisors (76479648).

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

34271328 is a wasteful number, since it uses less digits than its factorization.

34271328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3956 (or 3948 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 34271328 is about 5854.1718457866. The cubic root of 34271328 is about 324.8206600300.

The spelling of 34271328 in words is "thirty-four million, two hundred seventy-one thousand, three hundred twenty-eight".