34401444 has 96 divisors (see below), whose sum is σ = 103391232. Its totient is φ = 8640000.

The previous prime is 34401439. The next prime is 34401449. The reversal of 34401444 is 44410443.

34401444 = 242² + 243² + ... + 489².

It is an interprime number because it is at equal distance from previous prime (34401439) and next prime (34401449).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34401449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28044 + ... + 29244.

It is an arithmetic number, because the mean of its divisors is an integer number (1076992).

Almost surely, 2^34401444 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 34401444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51695616).

34401444 is an abundant number, since it is smaller than the sum of its proper divisors (68989788).

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

34401444 is a wasteful number, since it uses less digits than its factorization.

34401444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1255 counting only the distinct ones).

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

The square root of 34401444 is about 5865.2744181325. The cubic root of 34401444 is about 325.2312169244.

Adding to 34401444 its reverse (44410443), we get a palindrome (78811887).

It can be divided in two parts, 3440 and 1444, that added together give a palindrome (4884).

The spelling of 34401444 in words is "thirty-four million, four hundred one thousand, four hundred forty-four".