34712064 has 160 divisors (see below), whose sum is σ = 107374080. Its totient is φ = 11197440.

The previous prime is 34712063. The next prime is 34712071. The reversal of 34712064 is 46021743.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (34712063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1119729 + ... + 1119759.

It is an arithmetic number, because the mean of its divisors is an integer number (671088).

Almost surely, 2^34712064 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 34712064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53687040).

34712064 is an abundant number, since it is smaller than the sum of its proper divisors (72662016).

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

34712064 is an frugal number, since it uses more digits than its factorization.

34712064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 34712064 is about 5891.6944930979. The cubic root of 34712064 is about 326.2071525180.

The spelling of 34712064 in words is "thirty-four million, seven hundred twelve thousand, sixty-four".