3829509216 has 144 divisors (see below), whose sum is σ = 12417953184. Its totient is φ = 1108979712.

The previous prime is 3829509191. The next prime is 3829509217. The reversal of 3829509216 is 6129059283.

3829509216 is a `hidden beast` number, since 382 + 9 + 50 + 9 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3829509217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33565 + ... + 93731.

It is an arithmetic number, because the mean of its divisors is an integer number (86235786).

Almost surely, 2^3829509216 is an apocalyptic number.

3829509216 is a gapful number since it is divisible by the number (36) 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 3829509216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6208976592).

3829509216 is an abundant number, since it is smaller than the sum of its proper divisors (8588443968).

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

3829509216 is a wasteful number, since it uses less digits than its factorization.

3829509216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60213 (or 60202 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3829509216 is about 61883.0284973190. The cubic root of 3829509216 is about 1564.5197131187.

The spelling of 3829509216 in words is "three billion, eight hundred twenty-nine million, five hundred nine thousand, two hundred sixteen".