3878820 has 96 divisors (see below), whose sum is σ = 13184640. Its totient is φ = 938880.

The previous prime is 3878783. The next prime is 3878843. The reversal of 3878820 is 288783.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3¹³ + 8² + 7⁶ + 8⁴ + 8⁷ + 2¹⁶ + 0 .

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, 5614 + ... + 6266.

It is an arithmetic number, because the mean of its divisors is an integer number (137340).

Almost surely, 2^3878820 is an apocalyptic number.

3878820 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 3878820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6592320).

3878820 is an abundant number, since it is smaller than the sum of its proper divisors (9305820).

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

3878820 is a wasteful number, since it uses less digits than its factorization.

3878820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 3878820 is about 1969.4720104637. The cubic root of 3878820 is about 157.1206288905.

The spelling of 3878820 in words is "three million, eight hundred seventy-eight thousand, eight hundred twenty".