34412020020 has 192 divisors, whose sum is σ = 126573350400. Its totient is φ = 7594352640.

The previous prime is 34412019997. The next prime is 34412020051. The reversal of 34412020020 is 2002021443.

34412020020 is a `hidden beast` number, since 3 + 441 + 2 + 0 + 200 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34412019975 and 34412020002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47341 + ... + 266580.

It is an arithmetic number, because the mean of its divisors is an integer number (659236200).

Almost surely, 2^34412020020 is an apocalyptic number.

34412020020 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 34412020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63286675200).

34412020020 is an abundant number, since it is smaller than the sum of its proper divisors (92161330380).

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

34412020020 is a wasteful number, since it uses less digits than its factorization.

34412020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313975 (or 313967 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 34412020020 its reverse (2002021443), we get a palindrome (36414041463).

The spelling of 34412020020 in words is "thirty-four billion, four hundred twelve million, twenty thousand, twenty".