3853104640 has 240 divisors, whose sum is σ = 11611819296. Its totient is φ = 1200291840.

The previous prime is 3853104617. The next prime is 3853104643. The reversal of 3853104640 is 464013583.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3853104596 and 3853104605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3853104643) 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, 2167432 + ... + 2169208.

Almost surely, 2^3853104640 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 3853104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5805909648).

3853104640 is an abundant number, since it is smaller than the sum of its proper divisors (7758714656).

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

3853104640 is a wasteful number, since it uses less digits than its factorization.

3853104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 3853104640 is about 62073.3810904481. The cubic root of 3853104640 is about 1567.7263856879.

The spelling of 3853104640 in words is "three billion, eight hundred fifty-three million, one hundred four thousand, six hundred forty".