3893820 has 96 divisors (see below), whose sum is σ = 12730368. Its totient is φ = 870912.

The previous prime is 3893819. The next prime is 3893849. The reversal of 3893820 is 283983.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 30597 + ... + 30723.

It is an arithmetic number, because the mean of its divisors is an integer number (132608).

Almost surely, 2^3893820 is an apocalyptic number.

3893820 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 3893820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6365184).

3893820 is an abundant number, since it is smaller than the sum of its proper divisors (8836548).

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

3893820 is a wasteful number, since it uses less digits than its factorization.

3893820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3893820 is about 1973.2764631445. The cubic root of 3893820 is about 157.3229050032.

The spelling of 3893820 in words is "three million, eight hundred ninety-three thousand, eight hundred twenty".