39129587344 has 45 divisors (see below), whose sum is σ = 80563222747. Its totient is φ = 18407593472.

The previous prime is 39129587303. The next prime is 39129587351. The reversal of 39129587344 is 44378592193.

The square root of 39129587344 is 197812.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 16543104400 + 22586482944 = 128620^2 + 150288^2 .

It is a super-2 number, since 2×39129587344² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13449762 + ... + 13452670.

Almost surely, 2^39129587344 is an apocalyptic number.

39129587344 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

39129587344 is the 197812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39129587344

39129587344 is an abundant number, since it is smaller than the sum of its proper divisors (41433635403).

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

39129587344 is an frugal number, since it uses more digits than its factorization.

39129587344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5860 (or 2928 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 55.

The spelling of 39129587344 in words is "thirty-nine billion, one hundred twenty-nine million, five hundred eighty-seven thousand, three hundred forty-four".