34422144 has 64 divisors (see below), whose sum is σ = 96830640. Its totient is φ = 10797056.

The previous prime is 34422137. The next prime is 34422151. The reversal of 34422144 is 44122443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34422137) and next prime (34422151).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3892 + ... + 9164.

Almost surely, 2^34422144 is an apocalyptic number.

34422144 is a gapful number since it is divisible by the number (34) 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 34422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48415320).

34422144 is an abundant number, since it is smaller than the sum of its proper divisors (62408496).

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

34422144 is a wasteful number, since it uses less digits than its factorization.

34422144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5307 (or 5295 counting only the distinct ones).

The product of its digits is 3072, while the sum is 24.

The square root of 34422144 is about 5867.0387760778. The cubic root of 34422144 is about 325.2964364379.

Adding to 34422144 its reverse (44122443), we get a palindrome (78544587).

The spelling of 34422144 in words is "thirty-four million, four hundred twenty-two thousand, one hundred forty-four".