3853146440 has 128 divisors (see below), whose sum is σ = 10210233600. Its totient is φ = 1290193920.

The previous prime is 3853146419. The next prime is 3853146449. The reversal of 3853146440 is 446413583.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3853146394 and 3853146403.

It is not an unprimeable number, because it can be changed into a prime (3853146449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4192301 + ... + 4193219.

It is an arithmetic number, because the mean of its divisors is an integer number (79767450).

Almost surely, 2^3853146440 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 3853146440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105116800).

3853146440 is an abundant number, since it is smaller than the sum of its proper divisors (6357087160).

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

3853146440 is a wasteful number, since it uses less digits than its factorization.

3853146440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 3853146440 is about 62073.7177878045. The cubic root of 3853146440 is about 1567.7320547723.

The spelling of 3853146440 in words is "three billion, eight hundred fifty-three million, one hundred forty-six thousand, four hundred forty".