3829604832 has 120 divisors (see below), whose sum is σ = 11287711512. Its totient is φ = 1273708800.

The previous prime is 3829604819. The next prime is 3829604837. The reversal of 3829604832 is 2384069283.

3829604832 is a `hidden beast` number, since 3 + 8 + 2 + 9 + 604 + 8 + 32 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3829604837) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1400907 + ... + 1403637.

Almost surely, 2^3829604832 is an apocalyptic number.

3829604832 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 3829604832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5643855756).

3829604832 is an abundant number, since it is smaller than the sum of its proper divisors (7458106680).

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

3829604832 is a wasteful number, since it uses less digits than its factorization.

3829604832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3294 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3829604832 is about 61883.8010468006. The cubic root of 3829604832 is about 1564.5327340972.

The spelling of 3829604832 in words is "three billion, eight hundred twenty-nine million, six hundred four thousand, eight hundred thirty-two".