3854945640 has 768 divisors, whose sum is σ = 15719961600. Its totient is φ = 747823104.

The previous prime is 3854945621. The next prime is 3854945693. The reversal of 3854945640 is 465494583.

It is a self number, because there is not a number n which added to its sum of digits gives 3854945640.

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 191 ways as a sum of consecutive naturals, for example, 82020097 + ... + 82020143.

It is an arithmetic number, because the mean of its divisors is an integer number (20468700).

Almost surely, 2^3854945640 is an apocalyptic number.

3854945640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3854945640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7859980800).

3854945640 is an abundant number, since it is smaller than the sum of its proper divisors (11865015960).

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

3854945640 is a wasteful number, since it uses less digits than its factorization.

3854945640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The square root of 3854945640 is about 62088.2085423633. The cubic root of 3854945640 is about 1567.9760306710.

The spelling of 3854945640 in words is "three billion, eight hundred fifty-four million, nine hundred forty-five thousand, six hundred forty".