34052064 has 48 divisors (see below), whose sum is σ = 91300608. Its totient is φ = 11107712.

The previous prime is 34052063. The next prime is 34052069. The reversal of 34052064 is 46025043.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34052063) 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, 739 + ... + 8285.

It is an arithmetic number, because the mean of its divisors is an integer number (1902096).

Almost surely, 2^34052064 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 34052064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45650304).

34052064 is an abundant number, since it is smaller than the sum of its proper divisors (57248544).

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

34052064 is a wasteful number, since it uses less digits than its factorization.

34052064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7607 (or 7599 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 34052064 is about 5835.4146382241. The cubic root of 34052064 is about 324.1264557444.

The spelling of 34052064 in words is "thirty-four million, fifty-two thousand, sixty-four", and thus it is an eban number.