34244132234220 has 480 divisors, whose sum is σ = 116561457625536. Its totient is φ = 8381889331200.

The previous prime is 34244132234159. The next prime is 34244132234233. The reversal of 34244132234220 is 2243223144243.

34244132234220 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 4 + 1 + 3 + 223 + 422 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5217752659 + ... + 5217759221.

Almost surely, 2^{34244132234220} is an apocalyptic number.

34244132234220 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 34244132234220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58280728812768).

34244132234220 is an abundant number, since it is smaller than the sum of its proper divisors (82317325391316).

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

34244132234220 is a wasteful number, since it uses less digits than its factorization.

34244132234220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11263 (or 11252 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 34244132234220 its reverse (2243223144243), we get a palindrome (36487355378463).

The spelling of 34244132234220 in words is "thirty-four trillion, two hundred forty-four billion, one hundred thirty-two million, two hundred thirty-four thousand, two hundred twenty".