34641712 has 80 divisors (see below), whose sum is σ = 82216960. Its totient is φ = 13810176.

The previous prime is 34641709. The next prime is 34641713. The reversal of 34641712 is 21714643.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (34641713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155233 + ... + 155455.

It is an arithmetic number, because the mean of its divisors is an integer number (1027712).

Almost surely, 2^34641712 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 34641712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41108480).

34641712 is an abundant number, since it is smaller than the sum of its proper divisors (47575248).

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

34641712 is a wasteful number, since it uses less digits than its factorization.

34641712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 34641712 is about 5885.7210263484. The cubic root of 34641712 is about 325.9866254691.

It can be divided in two parts, 34641 and 712, that added together give a palindrome (35353).

The spelling of 34641712 in words is "thirty-four million, six hundred forty-one thousand, seven hundred twelve".