3882933407232 has 480 divisors, whose sum is σ = 12693833792640. Its totient is φ = 1175173816320.

The previous prime is 3882933407231. The next prime is 3882933407239. The reversal of 3882933407232 is 2327043392883.

3882933407232 is a `hidden beast` number, since 3 + 8 + 8 + 293 + 340 + 7 + 2 + 3 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3882933407231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1660081519 + ... + 1660083857.

It is an arithmetic number, because the mean of its divisors is an integer number (26445487068).

Almost surely, 2^{3882933407232} is an apocalyptic number.

3882933407232 is a gapful number since it is divisible by the number (32) 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 3882933407232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6346916896320).

3882933407232 is an abundant number, since it is smaller than the sum of its proper divisors (8810900385408).

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

3882933407232 is a wasteful number, since it uses less digits than its factorization.

3882933407232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3596 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 3882933407232 in words is "three trillion, eight hundred eighty-two billion, nine hundred thirty-three million, four hundred seven thousand, two hundred thirty-two".