39034944 has 126 divisors (see below), whose sum is σ = 121457466. Its totient is φ = 11980800.

The previous prime is 39034943. The next prime is 39034951. The reversal of 39034944 is 44943093.

It can be written as a sum of positive squares in 3 ways, for example, as 4460544 + 34574400 = 2112^2 + 5880^2 .

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 = 39034899 and 39034908.

It is not an unprimeable number, because it can be changed into a prime (39034943) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 97144 + ... + 97544.

Almost surely, 2^39034944 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 39034944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60728733).

39034944 is an abundant number, since it is smaller than the sum of its proper divisors (82422522).

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

39034944 is a wasteful number, since it uses less digits than its factorization.

39034944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 39034944 is about 6247.7951310842. The cubic root of 39034944 is about 339.2223982480. Note that the first 3 decimals are identical.

The spelling of 39034944 in words is "thirty-nine million, thirty-four thousand, nine hundred forty-four".