34214343224244 has 192 divisors, whose sum is σ = 82483002556416. Its totient is φ = 11032861282816.

The previous prime is 34214343224233. The next prime is 34214343224249. The reversal of 34214343224244 is 44242234341243.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34214343224196 and 34214343224205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34214343224249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19742840002 + ... + 19742841734.

It is an arithmetic number, because the mean of its divisors is an integer number (429598971648).

Almost surely, 2^{34214343224244} is an apocalyptic number.

It is an amenable number.

34214343224244 is an abundant number, since it is smaller than the sum of its proper divisors (48268659332172).

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

34214343224244 is a wasteful number, since it uses less digits than its factorization.

34214343224244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 3012 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 42.

Adding to 34214343224244 its reverse (44242234341243), we get a palindrome (78456577565487).

The spelling of 34214343224244 in words is "thirty-four trillion, two hundred fourteen billion, three hundred forty-three million, two hundred twenty-four thousand, two hundred forty-four".