39945024 has 84 divisors (see below), whose sum is σ = 130864864. Its totient is φ = 11411712.

The previous prime is 39945023. The next prime is 39945047. The reversal of 39945024 is 42054993.

It is a tau number, because it is divible by the number of its divisors (84).

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

It is a self number, because there is not a number n which added to its sum of digits gives 39945024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39945023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 922 + ... + 8985.

Almost surely, 2^39945024 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 39945024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65432432).

39945024 is an abundant number, since it is smaller than the sum of its proper divisors (90919840).

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

39945024 is a wasteful number, since it uses less digits than its factorization.

39945024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9932 (or 9919 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 39945024 is about 6320.2075915274. The cubic root of 39945024 is about 341.8384381044.

The spelling of 39945024 in words is "thirty-nine million, nine hundred forty-five thousand, twenty-four".