34106064 has 40 divisors (see below), whose sum is σ = 92747040. Its totient is φ = 10770048.

The previous prime is 34106047. The next prime is 34106089. The reversal of 34106064 is 46060143.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17787 + ... + 19610.

It is an arithmetic number, because the mean of its divisors is an integer number (2318676).

Almost surely, 2^34106064 is an apocalyptic number.

It is an amenable number.

34106064 is an abundant number, since it is smaller than the sum of its proper divisors (58640976).

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

34106064 is a wasteful number, since it uses less digits than its factorization.

34106064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37427 (or 37421 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 34106064 is about 5840.0397258923. The cubic root of 34106064 is about 324.2976992527.

The spelling of 34106064 in words is "thirty-four million, one hundred six thousand, sixty-four".