34716864 has 112 divisors (see below), whose sum is σ = 113109248. Its totient is φ = 9151488.

The previous prime is 34716859. The next prime is 34716883. The reversal of 34716864 is 46861743.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16479 + ... + 18465.

It is an arithmetic number, because the mean of its divisors is an integer number (1009904).

Almost surely, 2^34716864 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 34716864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56554624).

34716864 is an abundant number, since it is smaller than the sum of its proper divisors (78392384).

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

34716864 is a wasteful number, since it uses less digits than its factorization.

34716864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2012 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 34716864 is about 5892.1018321139. The cubic root of 34716864 is about 326.2221878495. Note that the first 3 decimals are identical.

The spelling of 34716864 in words is "thirty-four million, seven hundred sixteen thousand, eight hundred sixty-four".