34662144 has 108 divisors (see below), whose sum is σ = 101672648. Its totient is φ = 10475520.

The previous prime is 34662073. The next prime is 34662149. The reversal of 34662144 is 44126643.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34662149) 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, 92742 + ... + 93114.

Almost surely, 2^34662144 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 34662144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50836324).

34662144 is an abundant number, since it is smaller than the sum of its proper divisors (67010504).

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

34662144 is a wasteful number, since it uses less digits than its factorization.

34662144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 389 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 34662144 is about 5887.4564966546. The cubic root of 34662144 is about 326.0507028418.

Adding to 34662144 its reverse (44126643), we get a palindrome (78788787).

The spelling of 34662144 in words is "thirty-four million, six hundred sixty-two thousand, one hundred forty-four".