34784064 has 84 divisors (see below), whose sum is σ = 113958624. Its totient is φ = 9937152.

The previous prime is 34784063. The next prime is 34784069. The reversal of 34784064 is 46048743.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×34784064² = 2419862216712192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34784063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282 + ... + 8345.

Almost surely, 2^34784064 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 34784064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56979312).

34784064 is an abundant number, since it is smaller than the sum of its proper divisors (79174560).

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

34784064 is a wasteful number, since it uses less digits than its factorization.

34784064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8652 (or 8639 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 34784064 is about 5897.8016243343. The cubic root of 34784064 is about 326.4325371255.

The spelling of 34784064 in words is "thirty-four million, seven hundred eighty-four thousand, sixty-four".