3863820 has 48 divisors (see below), whose sum is σ = 10983168. Its totient is φ = 1014720.

The previous prime is 3863803. The next prime is 3863831. The reversal of 3863820 is 283683.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 3⁶ + 8⁵ + 6⁵ + 3¹³ + 8⁷ + 2¹⁷ + 0 .

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, 3807 + ... + 4713.

It is an arithmetic number, because the mean of its divisors is an integer number (228816).

Almost surely, 2^3863820 is an apocalyptic number.

3863820 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 3863820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5491584).

3863820 is an abundant number, since it is smaller than the sum of its proper divisors (7119348).

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

3863820 is a wasteful number, since it uses less digits than its factorization.

3863820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 3863820 is about 1965.6601944385. The cubic root of 3863820 is about 156.9178306145.

The spelling of 3863820 in words is "three million, eight hundred sixty-three thousand, eight hundred twenty".