34444100 has 72 divisors (see below), whose sum is σ = 79328256. Its totient is φ = 12960000.

The previous prime is 34444063. The next prime is 34444103. The reversal of 34444100 is 144443.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (34444103) 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, 126965 + ... + 127235.

Almost surely, 2^34444100 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 34444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39664128).

34444100 is an abundant number, since it is smaller than the sum of its proper divisors (44884156).

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

34444100 is a wasteful number, since it uses less digits than its factorization.

34444100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 34444100 is about 5868.9096091182. The cubic root of 34444100 is about 325.3655846637.

Adding to 34444100 its reverse (144443), we get a palindrome (34588543).

It can be divided in two parts, 344 and 44100, that added together give a palindrome (44444).

The spelling of 34444100 in words is "thirty-four million, four hundred forty-four thousand, one hundred".