3838186956800 has 288 divisors, whose sum is σ = 10936135042560. Its totient is φ = 1308657254400.

The previous prime is 3838186956781. The next prime is 3838186956809. The reversal of 3838186956800 is 86596818383.

It is not an unprimeable number, because it can be changed into a prime (3838186956809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64840817 + ... + 64899983.

It is an arithmetic number, because the mean of its divisors is an integer number (37972691120).

Almost surely, 2^{3838186956800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3838186956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468067521280).

3838186956800 is an abundant number, since it is smaller than the sum of its proper divisors (7097948085760).

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

3838186956800 is a wasteful number, since it uses less digits than its factorization.

3838186956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59387 (or 59362 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 65.

The spelling of 3838186956800 in words is "three trillion, eight hundred thirty-eight billion, one hundred eighty-six million, nine hundred fifty-six thousand, eight hundred".