34312960 has 72 divisors (see below), whose sum is σ = 89698896. Its totient is φ = 12472320.

The previous prime is 34312933. The next prime is 34312963. The reversal of 34312960 is 6921343.

It is not an unprimeable number, because it can be changed into a prime (34312963) 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, 12862 + ... + 15298.

It is an arithmetic number, because the mean of its divisors is an integer number (1245818).

Almost surely, 2^34312960 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 34312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44849448).

34312960 is an abundant number, since it is smaller than the sum of its proper divisors (55385936).

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

34312960 is a wasteful number, since it uses less digits than its factorization.

34312960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2469 (or 2455 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 34312960 is about 5857.7265214416. The cubic root of 34312960 is about 324.9521349628.

The spelling of 34312960 in words is "thirty-four million, three hundred twelve thousand, nine hundred sixty".