34076064 has 144 divisors (see below), whose sum is σ = 103680864. Its totient is φ = 9715200.

The previous prime is 34076059. The next prime is 34076069. The reversal of 34076064 is 46067043.

It is an interprime number because it is at equal distance from previous prime (34076059) and next prime (34076069).

It is a super-2 number, since 2×34076064² = 2322356275464192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34076069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 558594 + ... + 558654.

It is an arithmetic number, because the mean of its divisors is an integer number (720006).

Almost surely, 2^34076064 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 34076064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51840432).

34076064 is an abundant number, since it is smaller than the sum of its proper divisors (69604800).

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

34076064 is a wasteful number, since it uses less digits than its factorization.

34076064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 34076064 is about 5837.4706851512. The cubic root of 34076064 is about 324.2025863043.

The spelling of 34076064 in words is "thirty-four million, seventy-six thousand, sixty-four".