34040220000000 has 576 divisors, whose sum is σ = 115664553897984. Its totient is φ = 8883520000000.

The previous prime is 34040219999983. The next prime is 34040220000019. The reversal of 34040220000000 is 2204043.

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 63 ways as a sum of consecutive naturals, for example, 2819993965 + ... + 2820006035.

It is an arithmetic number, because the mean of its divisors is an integer number (200806517184).

Almost surely, 2^{34040220000000} is an apocalyptic number.

34040220000000 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 34040220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57832276948992).

34040220000000 is an abundant number, since it is smaller than the sum of its proper divisors (81624333897984).

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

34040220000000 is an frugal number, since it uses more digits than its factorization.

34040220000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12172 (or 12128 counting only the distinct ones).

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

Adding to 34040220000000 its reverse (2204043), we get a palindrome (34040222204043).

The spelling of 34040220000000 in words is "thirty-four trillion, forty billion, two hundred twenty million", and thus it is an aban number.