39379144 has 64 divisors (see below), whose sum is σ = 87552000. Its totient is φ = 16595712.

The previous prime is 39379121. The next prime is 39379189. The reversal of 39379144 is 44197393.

It is a happy number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 39379097 and 39379106.

It is a congruent number.

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, 310009 + ... + 310135.

It is an arithmetic number, because the mean of its divisors is an integer number (1368000).

Almost surely, 2^39379144 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 39379144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43776000).

39379144 is an abundant number, since it is smaller than the sum of its proper divisors (48172856).

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

39379144 is a wasteful number, since it uses less digits than its factorization.

39379144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 249 counting only the distinct ones).

The product of its digits is 81648, while the sum is 40.

The square root of 39379144 is about 6275.2803921419. The cubic root of 39379144 is about 340.2165402606.

The spelling of 39379144 in words is "thirty-nine million, three hundred seventy-nine thousand, one hundred forty-four".