34120420220340 has 192 divisors, whose sum is σ = 106464695500800. Its totient is φ = 9072020124288.

The previous prime is 34120420220321. The next prime is 34120420220399. The reversal of 34120420220340 is 4302202402143.

34120420220340 is a `hidden beast` number, since 3 + 4 + 12 + 0 + 420 + 220 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1985699389 + ... + 1985716571.

It is an arithmetic number, because the mean of its divisors is an integer number (554503622400).

Almost surely, 2^{34120420220340} is an apocalyptic number.

34120420220340 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 34120420220340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53232347750400).

34120420220340 is an abundant number, since it is smaller than the sum of its proper divisors (72344275280460).

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

34120420220340 is a wasteful number, since it uses less digits than its factorization.

34120420220340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27803 (or 27795 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 34120420220340 its reverse (4302202402143), we get a palindrome (38422622622483).

The spelling of 34120420220340 in words is "thirty-four trillion, one hundred twenty billion, four hundred twenty million, two hundred twenty thousand, three hundred forty".