3894912 has 192 divisors, whose sum is σ = 13953600. Its totient is φ = 1064448.

The previous prime is 3894899. The next prime is 3894923. The reversal of 3894912 is 2194983.

3894912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 169333 + ... + 169355.

It is an arithmetic number, because the mean of its divisors is an integer number (72675).

Almost surely, 2^3894912 is an apocalyptic number.

3894912 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 3894912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6976800).

3894912 is an abundant number, since it is smaller than the sum of its proper divisors (10058688).

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

3894912 is a wasteful number, since it uses less digits than its factorization.

3894912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 35 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 3894912 is about 1973.5531409111. The cubic root of 3894912 is about 157.3376104043.

The spelling of 3894912 in words is "three million, eight hundred ninety-four thousand, nine hundred twelve".