3846411072 has 672 divisors, whose sum is σ = 14454835200. Its totient is φ = 952528896.

The previous prime is 3846411061. The next prime is 3846411073. The reversal of 3846411072 is 2701146483.

3846411072 is a `hidden beast` number, since 3 + 8 + 4 + 641 + 1 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3846411073) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 65193379 + ... + 65193437.

Almost surely, 2^3846411072 is an apocalyptic number.

3846411072 is a gapful number since it is divisible by the number (32) 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 3846411072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7227417600).

3846411072 is an abundant number, since it is smaller than the sum of its proper divisors (10608424128).

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

3846411072 is a wasteful number, since it uses less digits than its factorization.

3846411072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3846411072 is about 62019.4410810030. The cubic root of 3846411072 is about 1566.8180475622.

The spelling of 3846411072 in words is "three billion, eight hundred forty-six million, four hundred eleven thousand, seventy-two".