3829780864 has 128 divisors (see below), whose sum is σ = 9443649600. Its totient is φ = 1506484224.

The previous prime is 3829780831. The next prime is 3829780879. The reversal of 3829780864 is 4680879283.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2293822 + ... + 2295490.

Almost surely, 2^3829780864 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 3829780864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4721824800).

3829780864 is an abundant number, since it is smaller than the sum of its proper divisors (5613868736).

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

3829780864 is a wasteful number, since it uses less digits than its factorization.

3829780864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The square root of 3829780864 is about 61885.2233089612. The cubic root of 3829780864 is about 1564.5567055528.

The spelling of 3829780864 in words is "three billion, eight hundred twenty-nine million, seven hundred eighty thousand, eight hundred sixty-four".