3829161600 has 960 divisors, whose sum is σ = 16528406400. Its totient is φ = 862617600.

The previous prime is 3829161587. The next prime is 3829161619. The reversal of 3829161600 is 61619283.

3829161600 is a `hidden beast` number, since 38 + 2 + 9 + 1 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48470361 + ... + 48470439.

It is an arithmetic number, because the mean of its divisors is an integer number (17217090).

Almost surely, 2^3829161600 is an apocalyptic number.

3829161600 is a gapful number since it is divisible by the number (30) 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 3829161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8264203200).

3829161600 is an abundant number, since it is smaller than the sum of its proper divisors (12699244800).

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

3829161600 is a wasteful number, since it uses less digits than its factorization.

3829161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3829161600 is about 61880.2197798295. The cubic root of 3829161600 is about 1564.4723729757.

The spelling of 3829161600 in words is "three billion, eight hundred twenty-nine million, one hundred sixty-one thousand, six hundred".