3827903232 has 144 divisors (see below), whose sum is σ = 10470267360. Its totient is φ = 1241088000.

The previous prime is 3827903231. The next prime is 3827903273. The reversal of 3827903232 is 2323097283.

It is not an unprimeable number, because it can be changed into a prime (3827903231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4731244 + ... + 4732052.

It is an arithmetic number, because the mean of its divisors is an integer number (72710190).

Almost surely, 2^3827903232 is an apocalyptic number.

3827903232 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 3827903232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5235133680).

3827903232 is an abundant number, since it is smaller than the sum of its proper divisors (6642364128).

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

3827903232 is a wasteful number, since it uses less digits than its factorization.

3827903232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 3827903232 is about 61870.0511717907. The cubic root of 3827903232 is about 1564.3009779577.

The spelling of 3827903232 in words is "three billion, eight hundred twenty-seven million, nine hundred three thousand, two hundred thirty-two".