38969343831600 has 1920 divisors, whose sum is σ = 180615106560000. Its totient is φ = 7749479485440.

The previous prime is 38969343831553. The next prime is 38969343831617. The reversal of 38969343831600 is 613834396983.

38969343831600 is a `hidden beast` number, since 3 + 8 + 9 + 6 + 93 + 4 + 383 + 160 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3715961557 + ... + 3715972043.

It is an arithmetic number, because the mean of its divisors is an integer number (94070368000).

Almost surely, 2^{38969343831600} is an apocalyptic number.

38969343831600 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 38969343831600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90307553280000).

38969343831600 is an abundant number, since it is smaller than the sum of its proper divisors (141645762728400).

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

38969343831600 is a wasteful number, since it uses less digits than its factorization.

38969343831600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10752 (or 10735 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 38969343831600 in words is "thirty-eight trillion, nine hundred sixty-nine billion, three hundred forty-three million, eight hundred thirty-one thousand, six hundred".