38299712816640 has 640 divisors, whose sum is σ = 136600649856000. Its totient is φ = 9075444285440.

The previous prime is 38299712816623. The next prime is 38299712816647. The reversal of 38299712816640 is 4661821799283.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38299712816647) by changing a digit.

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, 1204415461 + ... + 1204447259.

It is an arithmetic number, because the mean of its divisors is an integer number (213438515400).

Almost surely, 2^{38299712816640} is an apocalyptic number.

38299712816640 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 38299712816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68300324928000).

38299712816640 is an abundant number, since it is smaller than the sum of its proper divisors (98300937039360).

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

38299712816640 is a wasteful number, since it uses less digits than its factorization.

38299712816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32158 (or 32142 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 38299712816640 in words is "thirty-eight trillion, two hundred ninety-nine billion, seven hundred twelve million, eight hundred sixteen thousand, six hundred forty".