39390233678848 has 396 divisors, whose sum is σ = 91824901739220. Its totient is φ = 16874732519424.

The previous prime is 39390233678833. The next prime is 39390233678881. The reversal of 39390233678848 is 84887633209393.

It can be written as a sum of positive squares in 18 ways, for example, as 23019729260544 + 16370504418304 = 4797888^2 + 4046048^2 .

It is a Harshad number since it is a multiple of its sum of digits (73).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3650957038 + ... + 3650967826.

Almost surely, 2^{39390233678848} 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 39390233678848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45912450869610).

39390233678848 is an abundant number, since it is smaller than the sum of its proper divisors (52434668060372).

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

39390233678848 is a wasteful number, since it uses less digits than its factorization.

39390233678848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10942 (or 10894 counting only the distinct ones).

The product of its (nonzero) digits is 1128701952, while the sum is 73.

The spelling of 39390233678848 in words is "thirty-nine trillion, three hundred ninety billion, two hundred thirty-three million, six hundred seventy-eight thousand, eight hundred forty-eight".