34508064 has 48 divisors (see below), whose sum is σ = 91506240. Its totient is φ = 11385600.

The previous prime is 34508051. The next prime is 34508077. The reversal of 34508064 is 46080543.

It is an interprime number because it is at equal distance from previous prime (34508051) and next prime (34508077).

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

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, 7917 + ... + 11475.

It is an arithmetic number, because the mean of its divisors is an integer number (1906380).

Almost surely, 2^34508064 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 34508064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45753120).

34508064 is an abundant number, since it is smaller than the sum of its proper divisors (56998176).

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

34508064 is a wasteful number, since it uses less digits than its factorization.

34508064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3673 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 34508064 is about 5874.3564753937. The cubic root of 34508064 is about 325.5668655297.

The spelling of 34508064 in words is "thirty-four million, five hundred eight thousand, sixty-four".