3846881376 has 192 divisors, whose sum is σ = 12609354240. Its totient is φ = 1132116480.

The previous prime is 3846881371. The next prime is 3846881377. The reversal of 3846881376 is 6731886483.

3846881376 is a `hidden beast` number, since 38 + 468 + 81 + 3 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3846881371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250891 + ... + 265781.

It is an arithmetic number, because the mean of its divisors is an integer number (65673720).

Almost surely, 2^3846881376 is an apocalyptic number.

3846881376 is a gapful number since it is divisible by the number (36) 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 3846881376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6304677120).

3846881376 is an abundant number, since it is smaller than the sum of its proper divisors (8762472864).

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

3846881376 is a wasteful number, since it uses less digits than its factorization.

3846881376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14946 (or 14932 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 3846881376 is about 62023.2325503920. The cubic root of 3846881376 is about 1566.8819036911.

The spelling of 3846881376 in words is "three billion, eight hundred forty-six million, eight hundred eighty-one thousand, three hundred seventy-six".