3983820 has 48 divisors (see below), whose sum is σ = 11332608. Its totient is φ = 1045440.

The previous prime is 3983809. The next prime is 3983839. The reversal of 3983820 is 283893.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3525 + ... + 4515.

It is an arithmetic number, because the mean of its divisors is an integer number (236096).

Almost surely, 2^3983820 is an apocalyptic number.

3983820 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 3983820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5666304).

3983820 is an abundant number, since it is smaller than the sum of its proper divisors (7348788).

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

3983820 is a wasteful number, since it uses less digits than its factorization.

3983820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070 (or 1068 counting only the distinct ones).

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

The square root of 3983820 is about 1995.9509011997. The cubic root of 3983820 is about 158.5257813814.

The spelling of 3983820 in words is "three million, nine hundred eighty-three thousand, eight hundred twenty".