39424300344 has 768 divisors, whose sum is σ = 141571584000. Its totient is φ = 10059033600.

The previous prime is 39424300343. The next prime is 39424300373. The reversal of 39424300344 is 44300342493.

It is a happy number.

39424300344 is a `hidden beast` number, since 3 + 9 + 4 + 2 + 4 + 300 + 344 = 666.

It is a super-2 number, since 2×39424300344² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 39424300299 and 39424300308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39424300343) 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 191 ways as a sum of consecutive naturals, for example, 200123254 + ... + 200123450.

It is an arithmetic number, because the mean of its divisors is an integer number (184338000).

Almost surely, 2^39424300344 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 39424300344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70785792000).

39424300344 is an abundant number, since it is smaller than the sum of its proper divisors (102147283656).

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

39424300344 is a wasteful number, since it uses less digits than its factorization.

39424300344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 39424300344 in words is "thirty-nine billion, four hundred twenty-four million, three hundred thousand, three hundred forty-four".