3850803095328 has 2304 divisors, whose sum is σ = 15011735961600. Its totient is φ = 953149317120.

The previous prime is 3850803095327. The next prime is 3850803095339. The reversal of 3850803095328 is 8235903080583.

3850803095328 is a `hidden beast` number, since 3 + 8 + 5 + 0 + 8 + 0 + 309 + 5 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3850803095327) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 46395217975 + ... + 46395218057.

It is an arithmetic number, because the mean of its divisors is an integer number (6515510400).

Almost surely, 2^{3850803095328} 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 3850803095328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7505867980800).

3850803095328 is an abundant number, since it is smaller than the sum of its proper divisors (11160932866272).

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

3850803095328 is a wasteful number, since it uses less digits than its factorization.

3850803095328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 3850803095328 in words is "three trillion, eight hundred fifty billion, eight hundred three million, ninety-five thousand, three hundred twenty-eight".