3789854464 has 144 divisors (see below), whose sum is σ = 8556347520. Its totient is φ = 1660538880.

The previous prime is 3789854441. The next prime is 3789854527. The reversal of 3789854464 is 4644589873.

It is a happy number.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

Its product of digits (23224320) is a multiple of the sum of its prime divisors (512).

It is a junction number, because it is equal to n+sod(n) for n = 3789854399 and 3789854408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9999427 + ... + 9999805.

It is an arithmetic number, because the mean of its divisors is an integer number (59419080).

Almost surely, 2^3789854464 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 3789854464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4278173760).

3789854464 is an abundant number, since it is smaller than the sum of its proper divisors (4766493056).

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

3789854464 is a wasteful number, since it uses less digits than its factorization.

3789854464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 512 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 58.

The square root of 3789854464 is about 61561.7938660010. The cubic root of 3789854464 is about 1559.1007396663.

The spelling of 3789854464 in words is "three billion, seven hundred eighty-nine million, eight hundred fifty-four thousand, four hundred sixty-four".