34009960 has 32 divisors (see below), whose sum is σ = 77824800. Its totient is φ = 13372480.

The previous prime is 34009957. The next prime is 34009961. The reversal of 34009960 is 6990043.

It is not an unprimeable number, because it can be changed into a prime (34009961) 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, 4846 + ... + 9565.

It is an arithmetic number, because the mean of its divisors is an integer number (2432025).

Almost surely, 2^34009960 is an apocalyptic number.

It is an amenable number.

34009960 is an abundant number, since it is smaller than the sum of its proper divisors (43814840).

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

34009960 is a wasteful number, since it uses less digits than its factorization.

34009960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14481 (or 14477 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 31.

The square root of 34009960 is about 5831.8058952609. The cubic root of 34009960 is about 323.9928108957.

It can be divided in two parts, 34009 and 960, that added together give a square (34969 = 187²).

The spelling of 34009960 in words is "thirty-four million, nine thousand, nine hundred sixty".