3829869360 has 240 divisors, whose sum is σ = 13240000800. Its totient is φ = 991727616.

The previous prime is 3829869341. The next prime is 3829869367. The reversal of 3829869360 is 639689283.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 3829869297 and 3829869306.

It is not an unprimeable number, because it can be changed into a prime (3829869367) 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, 3780214 + ... + 3781226.

It is an arithmetic number, because the mean of its divisors is an integer number (55166670).

Almost surely, 2^3829869360 is an apocalyptic number.

3829869360 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 3829869360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6620000400).

3829869360 is an abundant number, since it is smaller than the sum of its proper divisors (9410131440).

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

3829869360 is a wasteful number, since it uses less digits than its factorization.

3829869360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 3829869360 is about 61885.9383058866. The cubic root of 3829869360 is about 1564.5687563680.

The spelling of 3829869360 in words is "three billion, eight hundred twenty-nine million, eight hundred sixty-nine thousand, three hundred sixty".