34340064 has 96 divisors (see below), whose sum is σ = 101606400. Its totient is φ = 10060800.

The previous prime is 34340057. The next prime is 34340077. The reversal of 34340064 is 46004343.

34340064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32212 + ... + 33260.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 2^34340064 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 34340064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50803200).

34340064 is an abundant number, since it is smaller than the sum of its proper divisors (67266336).

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

34340064 is a wasteful number, since it uses less digits than its factorization.

34340064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 34340064 is about 5860.0395903099. The cubic root of 34340064 is about 325.0376729505.

The spelling of 34340064 in words is "thirty-four million, three hundred forty thousand, sixty-four".