3838785489000 has 2304 divisors, whose sum is σ = 17078615424000. Its totient is φ = 768595968000.

The previous prime is 3838785488947. The next prime is 3838785489043. The reversal of 3838785489000 is 9845878383.

3838785489000 is a `hidden beast` number, since 3 + 8 + 3 + 87 + 8 + 548 + 9 + 0 + 0 + 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 575 ways as a sum of consecutive naturals, for example, 25763660926 + ... + 25763661074.

It is an arithmetic number, because the mean of its divisors is an integer number (7412593500).

Almost surely, 2^{3838785489000} is an apocalyptic number.

3838785489000 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 3838785489000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8539307712000).

3838785489000 is an abundant number, since it is smaller than the sum of its proper divisors (13239829935000).

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

3838785489000 is a wasteful number, since it uses less digits than its factorization.

3838785489000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 337 counting only the distinct ones).

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

The spelling of 3838785489000 in words is "three trillion, eight hundred thirty-eight billion, seven hundred eighty-five million, four hundred eighty-nine thousand".