39668438880 has 384 divisors, whose sum is σ = 159451407360. Its totient is φ = 9022648320.

The previous prime is 39668438879. The next prime is 39668438899. The reversal of 39668438880 is 8883486693.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 63 ways as a sum of consecutive naturals, for example, 6377532 + ... + 6383748.

It is an arithmetic number, because the mean of its divisors is an integer number (415238040).

Almost surely, 2^39668438880 is an apocalyptic number.

39668438880 is a gapful number since it is divisible by the number (30) 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 39668438880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79725703680).

39668438880 is an abundant number, since it is smaller than the sum of its proper divisors (119782968480).

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

39668438880 is a wasteful number, since it uses less digits than its factorization.

39668438880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6459 (or 6445 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 39668438880 in words is "thirty-nine billion, six hundred sixty-eight million, four hundred thirty-eight thousand, eight hundred eighty".