34004432220000 has 480 divisors, whose sum is σ = 123348504343680. Its totient is φ = 8130562560000.

The previous prime is 34004432219999. The next prime is 34004432220067. The reversal of 34004432220000 is 2223440043.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47827111 + ... + 48532889.

It is an arithmetic number, because the mean of its divisors is an integer number (256976050716).

Almost surely, 2^{34004432220000} is an apocalyptic number.

34004432220000 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 34004432220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61674252171840).

34004432220000 is an abundant number, since it is smaller than the sum of its proper divisors (89344072123680).

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

34004432220000 is a wasteful number, since it uses less digits than its factorization.

34004432220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705896 (or 705873 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 34004432220000 its reverse (2223440043), we get a palindrome (34006655660043).

The spelling of 34004432220000 in words is "thirty-four trillion, four billion, four hundred thirty-two million, two hundred twenty thousand".