39378752 has 84 divisors (see below), whose sum is σ = 94251780. Its totient is φ = 16257024.

The previous prime is 39378721. The next prime is 39378793. The reversal of 39378752 is 25787393.

It can be written as a sum of positive squares in 2 ways, for example, as 11669056 + 27709696 = 3416^2 + 5264^2 .

It is a super-2 number, since 2×39378752² = 3101372218155008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90728 + ... + 91160.

It is an arithmetic number, because the mean of its divisors is an integer number (1122045).

Almost surely, 2^39378752 is an apocalyptic number.

39378752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39378752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47125890).

39378752 is an abundant number, since it is smaller than the sum of its proper divisors (54873028).

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

39378752 is a wasteful number, since it uses less digits than its factorization.

39378752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 471 counting only the distinct ones).

The product of its digits is 317520, while the sum is 44.

The square root of 39378752 is about 6275.2491584000. The cubic root of 39378752 is about 340.2154113608.

The spelling of 39378752 in words is "thirty-nine million, three hundred seventy-eight thousand, seven hundred fifty-two".