34224000000 has 616 divisors, whose sum is σ = 122818427904. Its totient is φ = 8448000000.

The previous prime is 34223999993. The next prime is 34224000037. The reversal of 34224000000 is 42243.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1103999985 + ... + 1104000015.

Almost surely, 2^34224000000 is an apocalyptic number.

34224000000 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 34224000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61409213952).

34224000000 is an abundant number, since it is smaller than the sum of its proper divisors (88594427904).

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

34224000000 is an frugal number, since it uses more digits than its factorization.

34224000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 34224000000 its reverse (42243), we get a palindrome (34224042243).

The spelling of 34224000000 in words is "thirty-four billion, two hundred twenty-four million", and thus it is an aban number.