34274960 has 40 divisors (see below), whose sum is σ = 80794680. Its totient is φ = 13519872.

The previous prime is 34274953. The next prime is 34274963. The reversal of 34274960 is 6947243.

It can be written as a sum of positive squares in 4 ways, for example, as 495616 + 33779344 = 704^2 + 5812^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 34274960.

It is not an unprimeable number, because it can be changed into a prime (34274963) 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, 2906 + ... + 8774.

It is an arithmetic number, because the mean of its divisors is an integer number (2019867).

Almost surely, 2^34274960 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 34274960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40397340).

34274960 is an abundant number, since it is smaller than the sum of its proper divisors (46519720).

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

34274960 is a wasteful number, since it uses less digits than its factorization.

34274960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5955 (or 5949 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The square root of 34274960 is about 5854.4820436995. The cubic root of 34274960 is about 324.8321342179.

The spelling of 34274960 in words is "thirty-four million, two hundred seventy-four thousand, nine hundred sixty".