34224440100 has 144 divisors (see below), whose sum is σ = 99662787840. Its totient is φ = 9067766400.

The previous prime is 34224440093. The next prime is 34224440111. The reversal of 34224440100 is 104442243.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51933571 + ... + 51934229.

Almost surely, 2^34224440100 is an apocalyptic number.

34224440100 is a gapful number since it is divisible by the number (30) 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 34224440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49831393920).

34224440100 is an abundant number, since it is smaller than the sum of its proper divisors (65438347740).

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

34224440100 is a wasteful number, since it uses less digits than its factorization.

34224440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1523 counting only the distinct ones).

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

Adding to 34224440100 its reverse (104442243), we get a palindrome (34328882343).

The spelling of 34224440100 in words is "thirty-four billion, two hundred twenty-four million, four hundred forty thousand, one hundred".