39876144 has 80 divisors (see below), whose sum is σ = 128444160. Its totient is φ = 10356480.

The previous prime is 39876103. The next prime is 39876167. The reversal of 39876144 is 44167893.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 39876096 and 39876105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1699 + ... + 9090.

It is an arithmetic number, because the mean of its divisors is an integer number (1605552).

Almost surely, 2^39876144 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 39876144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64222080).

39876144 is an abundant number, since it is smaller than the sum of its proper divisors (88568016).

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

39876144 is a wasteful number, since it uses less digits than its factorization.

39876144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10818 (or 10812 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 39876144 is about 6314.7560522953. The cubic root of 39876144 is about 341.6418397454.

The spelling of 39876144 in words is "thirty-nine million, eight hundred seventy-six thousand, one hundred forty-four".