3872820 has 48 divisors (see below), whose sum is σ = 12394368. Its totient is φ = 885120.

The previous prime is 3872807. The next prime is 3872833. The reversal of 3872820 is 282783.

It is an interprime number because it is at equal distance from previous prime (3872807) and next prime (3872833).

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

It is a congruent number.

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, 4191 + ... + 5030.

It is an arithmetic number, because the mean of its divisors is an integer number (258216).

Almost surely, 2^3872820 is an apocalyptic number.

3872820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3872820 is an abundant number, since it is smaller than the sum of its proper divisors (8521548).

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

3872820 is a wasteful number, since it uses less digits than its factorization.

3872820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9240 (or 9238 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3872820 is about 1967.9481700492. The cubic root of 3872820 is about 157.0395724284.

The spelling of 3872820 in words is "three million, eight hundred seventy-two thousand, eight hundred twenty".