34538042 has 64 divisors (see below), whose sum is σ = 69120000. Its totient is φ = 12806640.

The previous prime is 34538039. The next prime is 34538047. The reversal of 34538042 is 24083543.

It is a super-3 number, since 3×34538042³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34537996 and 34538014.

It is not an unprimeable number, because it can be changed into a prime (34538047) 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, 173459 + ... + 173657.

It is an arithmetic number, because the mean of its divisors is an integer number (1080000).

Almost surely, 2^34538042 is an apocalyptic number.

34538042 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

34538042 is a wasteful number, since it uses less digits than its factorization.

34538042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 34538042 is about 5876.9075201163. The cubic root of 34538042 is about 325.6611142117.

The spelling of 34538042 in words is "thirty-four million, five hundred thirty-eight thousand, forty-two".