34042960 has 160 divisors (see below), whose sum is σ = 97708032. Its totient is φ = 10782720.

The previous prime is 34042949. The next prime is 34042961. The reversal of 34042960 is 6924043.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34042961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 642294 + ... + 642346.

Almost surely, 2^34042960 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 34042960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48854016).

34042960 is an abundant number, since it is smaller than the sum of its proper divisors (63665072).

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

34042960 is a wasteful number, since it uses less digits than its factorization.

34042960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 34042960 is about 5834.6345215446. The cubic root of 34042960 is about 324.0975675272.

The spelling of 34042960 in words is "thirty-four million, forty-two thousand, nine hundred sixty".