34760064 has 64 divisors (see below), whose sum is σ = 93170880. Its totient is φ = 11481600.

The previous prime is 34760029. The next prime is 34760071. The reversal of 34760064 is 46006743.

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

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, 49959 + ... + 50649.

It is an arithmetic number, because the mean of its divisors is an integer number (1455795).

Almost surely, 2^34760064 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 34760064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46585440).

34760064 is an abundant number, since it is smaller than the sum of its proper divisors (58410816).

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

34760064 is a wasteful number, since it uses less digits than its factorization.

34760064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 827 counting only the distinct ones).

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

The square root of 34760064 is about 5895.7666168192. The cubic root of 34760064 is about 326.3574435097.

The spelling of 34760064 in words is "thirty-four million, seven hundred sixty thousand, sixty-four".