38838794850000 has 1440 divisors, whose sum is σ = 144338107769856. Its totient is φ = 9734400000000.

The previous prime is 38838794849983. The next prime is 38838794850001. The reversal of 38838794850000 is 5849783883.

38838794850000 is a `hidden beast` number, since 3 + 8 + 8 + 3 + 87 + 9 + 48 + 500 + 0 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38838794850000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38838794850001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 96854849800 + ... + 96854850200.

Almost surely, 2^{38838794850000} is an apocalyptic number.

38838794850000 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 38838794850000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72169053884928).

38838794850000 is an abundant number, since it is smaller than the sum of its proper divisors (105499312919856).

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

38838794850000 is a wasteful number, since it uses less digits than its factorization.

38838794850000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 38838794850000 in words is "thirty-eight trillion, eight hundred thirty-eight billion, seven hundred ninety-four million, eight hundred fifty thousand".