3829885488 has 240 divisors, whose sum is σ = 12802826400. Its totient is φ = 1053388800.

The previous prime is 3829885463. The next prime is 3829885489. The reversal of 3829885488 is 8845889283.

3829885488 is a `hidden beast` number, since 3 + 8 + 2 + 9 + 88 + 548 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (3829885489) 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, 1254588 + ... + 1257636.

It is an arithmetic number, because the mean of its divisors is an integer number (53345110).

Almost surely, 2^3829885488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3829885488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401413200).

3829885488 is an abundant number, since it is smaller than the sum of its proper divisors (8972940912).

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

3829885488 is a wasteful number, since it uses less digits than its factorization.

3829885488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3148 (or 3139 counting only the distinct ones).

The product of its digits is 35389440, while the sum is 63.

The square root of 3829885488 is about 61886.0686099869. The cubic root of 3829885488 is about 1564.5709525551.

The spelling of 3829885488 in words is "three billion, eight hundred twenty-nine million, eight hundred eighty-five thousand, four hundred eighty-eight".