3789965872 has 240 divisors, whose sum is σ = 9974361600. Its totient is φ = 1360972800.

The previous prime is 3789965869. The next prime is 3789965909. The reversal of 3789965872 is 2785699873.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10556829 + ... + 10557187.

It is an arithmetic number, because the mean of its divisors is an integer number (41559840).

Almost surely, 2^3789965872 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 3789965872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4987180800).

3789965872 is an abundant number, since it is smaller than the sum of its proper divisors (6184395728).

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

3789965872 is a wasteful number, since it uses less digits than its factorization.

3789965872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 439 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 64.

The square root of 3789965872 is about 61562.6987062783. The cubic root of 3789965872 is about 1559.1160168222.

The spelling of 3789965872 in words is "three billion, seven hundred eighty-nine million, nine hundred sixty-five thousand, eight hundred seventy-two".