34724448444 has 192 divisors, whose sum is σ = 99038822400. Its totient is φ = 9254310912.

The previous prime is 34724448391. The next prime is 34724448449. The reversal of 34724448444 is 44484442743.

It is a super-2 number, since 2×34724448444² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34724448393 and 34724448402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34724448449) 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, 34414212 + ... + 34415220.

It is an arithmetic number, because the mean of its divisors is an integer number (515827200).

Almost surely, 2^34724448444 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 34724448444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49519411200).

34724448444 is an abundant number, since it is smaller than the sum of its proper divisors (64314373956).

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

34724448444 is a wasteful number, since it uses less digits than its factorization.

34724448444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1470 counting only the distinct ones).

The product of its digits is 5505024, while the sum is 48.

The spelling of 34724448444 in words is "thirty-four billion, seven hundred twenty-four million, four hundred forty-eight thousand, four hundred forty-four".