3894120 has 96 divisors (see below), whose sum is σ = 13127400. Its totient is φ = 999936.

The previous prime is 3894119. The next prime is 3894131. The reversal of 3894120 is 214983.

It can be written as a sum of positive squares in 4 ways, for example, as 3218436 + 675684 = 1794^2 + 822^2 .

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10254 + ... + 10626.

Almost surely, 2^3894120 is an apocalyptic number.

3894120 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 3894120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6563700).

3894120 is an abundant number, since it is smaller than the sum of its proper divisors (9233280).

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

3894120 is a wasteful number, since it uses less digits than its factorization.

3894120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3894120 is about 1973.3524773846. The cubic root of 3894120 is about 157.3269452225.

The spelling of 3894120 in words is "three million, eight hundred ninety-four thousand, one hundred twenty".