3852332338176 has 440 divisors, whose sum is σ = 13600631874720. Its totient is φ = 1062707724288.

The previous prime is 3852332338123. The next prime is 3852332338189. The reversal of 3852332338176 is 6718332332583.

3852332338176 is a `hidden beast` number, since 3 + 8 + 5 + 233 + 2 + 338 + 1 + 76 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16723236 + ... + 16952028.

It is an arithmetic number, because the mean of its divisors is an integer number (30910526988).

Almost surely, 2^{3852332338176} is an apocalyptic number.

3852332338176 is a gapful number since it is divisible by the number (36) 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 3852332338176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6800315937360).

3852332338176 is an abundant number, since it is smaller than the sum of its proper divisors (9748299536544).

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

3852332338176 is a wasteful number, since it uses less digits than its factorization.

3852332338176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228861 (or 228834 counting only the distinct ones).

The product of its digits is 13063680, while the sum is 54.

The spelling of 3852332338176 in words is "three trillion, eight hundred fifty-two billion, three hundred thirty-two million, three hundred thirty-eight thousand, one hundred seventy-six".