3853901440 has 64 divisors (see below), whose sum is σ = 9304609320. Its totient is φ = 1526272000.

The previous prime is 3853901341. The next prime is 3853901489. The reversal of 3853901440 is 441093583.

It can be written as a sum of positive squares in 4 ways, for example, as 3852933184 + 968256 = 62072^2 + 984^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 3853901440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34830 + ... + 94450.

Almost surely, 2^3853901440 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 3853901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4652304660).

3853901440 is an abundant number, since it is smaller than the sum of its proper divisors (5450707880).

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

3853901440 is a wasteful number, since it uses less digits than its factorization.

3853901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59741 (or 59729 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 3853901440 is about 62079.7989687467. The cubic root of 3853901440 is about 1567.8344438560.

The spelling of 3853901440 in words is "three billion, eight hundred fifty-three million, nine hundred one thousand, four hundred forty".