34042224315000 has 640 divisors, whose sum is σ = 118986552115200. Its totient is φ = 8042838720000.

The previous prime is 34042224314951. The next prime is 34042224315007. The reversal of 34042224315000 is 51342224043.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34042224315007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1853435817 + ... + 1853454183.

It is an arithmetic number, because the mean of its divisors is an integer number (185916487680).

Almost surely, 2^{34042224315000} is an apocalyptic number.

34042224315000 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 34042224315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59493276057600).

34042224315000 is an abundant number, since it is smaller than the sum of its proper divisors (84944327800200).

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

34042224315000 is a wasteful number, since it uses less digits than its factorization.

34042224315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18693 (or 18674 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 34042224315000 its reverse (51342224043), we get a palindrome (34093566539043).

The spelling of 34042224315000 in words is "thirty-four trillion, forty-two billion, two hundred twenty-four million, three hundred fifteen thousand".