3829056640 has 128 divisors (see below), whose sum is σ = 9330552000. Its totient is φ = 1502392320.

The previous prime is 3829056619. The next prime is 3829056691. The reversal of 3829056640 is 466509283.

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

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, 9138351 + ... + 9138769.

Almost surely, 2^3829056640 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 3829056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665276000).

3829056640 is an abundant number, since it is smaller than the sum of its proper divisors (5501495360).

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

3829056640 is a wasteful number, since it uses less digits than its factorization.

3829056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The square root of 3829056640 is about 61879.3716839465. The cubic root of 3829056640 is about 1564.4580784175.

The spelling of 3829056640 in words is "three billion, eight hundred twenty-nine million, fifty-six thousand, six hundred forty".