34162960 has 80 divisors (see below), whose sum is σ = 86619456. Its totient is φ = 12455424.

The previous prime is 34162949. The next prime is 34162967. The reversal of 34162960 is 6926143.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (34162967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111127 + ... + 111433.

Almost surely, 2^34162960 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 34162960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43309728).

34162960 is an abundant number, since it is smaller than the sum of its proper divisors (52456496).

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

34162960 is a wasteful number, since it uses less digits than its factorization.

34162960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 34162960 is about 5844.9088957827. The cubic root of 34162960 is about 324.4779310460.

The spelling of 34162960 in words is "thirty-four million, one hundred sixty-two thousand, nine hundred sixty".