3829484352 has 112 divisors (see below), whose sum is σ = 10840923200. Its totient is φ = 1189416960.

The previous prime is 3829484339. The next prime is 3829484353. The reversal of 3829484352 is 2534849283.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3829484353) 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, 213924 + ... + 231132.

Almost surely, 2^3829484352 is an apocalyptic number.

3829484352 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 3829484352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5420461600).

3829484352 is an abundant number, since it is smaller than the sum of its proper divisors (7011438848).

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

3829484352 is a wasteful number, since it uses less digits than its factorization.

3829484352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17304 (or 17294 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The square root of 3829484352 is about 61882.8276018477. The cubic root of 3829484352 is about 1564.5163271058.

The spelling of 3829484352 in words is "three billion, eight hundred twenty-nine million, four hundred eighty-four thousand, three hundred fifty-two".