39742944 has 48 divisors (see below), whose sum is σ = 104972112. Its totient is φ = 13165568.

The previous prime is 39742907. The next prime is 39742949. The reversal of 39742944 is 44924793.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 39742896 and 39742905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39742949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15412 + ... + 17804.

It is an arithmetic number, because the mean of its divisors is an integer number (2186919).

Almost surely, 2^39742944 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 39742944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52486056).

39742944 is an abundant number, since it is smaller than the sum of its proper divisors (65229168).

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

39742944 is a wasteful number, since it uses less digits than its factorization.

39742944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2579 (or 2571 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 39742944 is about 6304.2005044256. The cubic root of 39742944 is about 341.2610150881.

The spelling of 39742944 in words is "thirty-nine million, seven hundred forty-two thousand, nine hundred forty-four".