34823712 has 144 divisors (see below), whose sum is σ = 116176032. Its totient is φ = 9031680.

The previous prime is 34823687. The next prime is 34823717. The reversal of 34823712 is 21732843.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 34823712.

It is not an unprimeable number, because it can be changed into a prime (34823717) 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, 51408 + ... + 52080.

It is an arithmetic number, because the mean of its divisors is an integer number (806778).

Almost surely, 2^34823712 is an apocalyptic number.

34823712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34823712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58088016).

34823712 is an abundant number, since it is smaller than the sum of its proper divisors (81352320).

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

34823712 is a wasteful number, since it uses less digits than its factorization.

34823712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 696 counting only the distinct ones).

The product of its digits is 8064, while the sum is 30.

The square root of 34823712 is about 5901.1619194867. The cubic root of 34823712 is about 326.5565161499.

The spelling of 34823712 in words is "thirty-four million, eight hundred twenty-three thousand, seven hundred twelve".