34212000020 has 192 divisors, whose sum is σ = 83907532800. Its totient is φ = 11587069440.

The previous prime is 34212000019. The next prime is 34212000023. The reversal of 34212000020 is 2000021243.

It is a junction number, because it is equal to n+sod(n) for n = 34211999959 and 34212000004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34212000023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98593487 + ... + 98593833.

It is an arithmetic number, because the mean of its divisors is an integer number (437018400).

Almost surely, 2^34212000020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34212000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41953766400).

34212000020 is an abundant number, since it is smaller than the sum of its proper divisors (49695532780).

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

34212000020 is a wasteful number, since it uses less digits than its factorization.

34212000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

Adding to 34212000020 its reverse (2000021243), we get a palindrome (36212021263).

The spelling of 34212000020 in words is "thirty-four billion, two hundred twelve million, twenty", and thus it is an aban number.