39934944 has 240 divisors, whose sum is σ = 140507136. Its totient is φ = 10886400.

The previous prime is 39934927. The next prime is 39934949. The reversal of 39934944 is 44943993.

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

It is a self number, because there is not a number n which added to its sum of digits gives 39934944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39934949) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 562429 + ... + 562499.

Almost surely, 2^39934944 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 39934944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70253568).

39934944 is an abundant number, since it is smaller than the sum of its proper divisors (100572192).

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

39934944 is a wasteful number, since it uses less digits than its factorization.

39934944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 114 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 39934944 is about 6319.4100990520. The cubic root of 39934944 is about 341.8096817371.

The spelling of 39934944 in words is "thirty-nine million, nine hundred thirty-four thousand, nine hundred forty-four".