34056064 has 64 divisors (see below), whose sum is σ = 78336000. Its totient is φ = 14446080.

The previous prime is 34056041. The next prime is 34056101. The reversal of 34056064 is 46065043.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 171037 + ... + 171235.

It is an arithmetic number, because the mean of its divisors is an integer number (1224000).

Almost surely, 2^34056064 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 34056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39168000).

34056064 is an abundant number, since it is smaller than the sum of its proper divisors (44279936).

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

34056064 is a wasteful number, since it uses less digits than its factorization.

34056064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 34056064 is about 5835.7573630164. The cubic root of 34056064 is about 324.1391466546.

The spelling of 34056064 in words is "thirty-four million, fifty-six thousand, sixty-four", and thus it is an eban number.