3839961600 has 480 divisors, whose sum is σ = 14491572480. Its totient is φ = 995328000.

The previous prime is 3839961589. The next prime is 3839961613. The reversal of 3839961600 is 61699383.

3839961600 is a `hidden beast` number, since 3 + 8 + 39 + 9 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14169465 + ... + 14169735.

It is an arithmetic number, because the mean of its divisors is an integer number (30190776).

Almost surely, 2^3839961600 is an apocalyptic number.

3839961600 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 3839961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7245786240).

3839961600 is an abundant number, since it is smaller than the sum of its proper divisors (10651610880).

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

3839961600 is a wasteful number, since it uses less digits than its factorization.

3839961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 3839961600 is about 61967.4236998764. The cubic root of 3839961600 is about 1565.9418366266.

It can be divided in two parts, 38399 and 61600, that added together give a palindrome (99999).

The spelling of 3839961600 in words is "three billion, eight hundred thirty-nine million, nine hundred sixty-one thousand, six hundred".