38999600640 has 1920 divisors, whose sum is σ = 193037644800. Its totient is φ = 7007109120.

The previous prime is 38999600603. The next prime is 38999600663. The reversal of 38999600640 is 4600699983.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 438197716 + ... + 438197804.

It is an arithmetic number, because the mean of its divisors is an integer number (100540440).

Almost surely, 2^38999600640 is an apocalyptic number.

38999600640 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 38999600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96518822400).

38999600640 is an abundant number, since it is smaller than the sum of its proper divisors (154038044160).

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

38999600640 is a wasteful number, since it uses less digits than its factorization.

38999600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 38999600640 in words is "thirty-eight billion, nine hundred ninety-nine million, six hundred thousand, six hundred forty".