34212021444 has 144 divisors (see below), whose sum is σ = 89497338112. Its totient is φ = 11015294976.

The previous prime is 34212021413. The next prime is 34212021461. The reversal of 34212021444 is 44412021243.

34212021444 is a `hidden beast` number, since 3 + 4 + 212 + 0 + 2 + 1 + 444 = 666.

It is a super-2 number, since 2×34212021444² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26255697 + ... + 26256999.

Almost surely, 2^34212021444 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 34212021444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44748669056).

34212021444 is an abundant number, since it is smaller than the sum of its proper divisors (55285316668).

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

34212021444 is a wasteful number, since it uses less digits than its factorization.

34212021444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 34212021444 its reverse (44412021243), we get a palindrome (78624042687).

The spelling of 34212021444 in words is "thirty-four billion, two hundred twelve million, twenty-one thousand, four hundred forty-four".