34224242250000 has 280 divisors, whose sum is σ = 120561157422432. Its totient is φ = 8296784000000.

The previous prime is 34224242249957. The next prime is 34224242250031. The reversal of 34224242250000 is 5224242243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 34224242250000.

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, 6175804 + ... + 10324196.

Almost surely, 2^{34224242250000} is an apocalyptic number.

34224242250000 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 34224242250000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60280578711216).

34224242250000 is an abundant number, since it is smaller than the sum of its proper divisors (86336915172432).

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

34224242250000 is an equidigital number, since it uses as much as digits as its factorization.

34224242250000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4148445 (or 4148414 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 30.

Adding to 34224242250000 its reverse (5224242243), we get a palindrome (34229466492243).

The spelling of 34224242250000 in words is "thirty-four trillion, two hundred twenty-four billion, two hundred forty-two million, two hundred fifty thousand".