34420022004120 has 128 divisors (see below), whose sum is σ = 108730268524800. Its totient is φ = 8692747531776.

The previous prime is 34420022004089. The next prime is 34420022004127. The reversal of 34420022004120 is 2140022002443.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34420022004127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4531642 + ... + 9453878.

It is an arithmetic number, because the mean of its divisors is an integer number (849455222850).

Almost surely, 2^{34420022004120} is an apocalyptic number.

34420022004120 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 34420022004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54365134262400).

34420022004120 is an abundant number, since it is smaller than the sum of its proper divisors (74310246520680).

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

34420022004120 is a wasteful number, since it uses less digits than its factorization.

34420022004120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4925337 (or 4925333 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 34420022004120 its reverse (2140022002443), we get a palindrome (36560044006563).

The spelling of 34420022004120 in words is "thirty-four trillion, four hundred twenty billion, twenty-two million, four thousand, one hundred twenty".