3862080 has 140 divisors (see below), whose sum is σ = 13830300. Its totient is φ = 1022976.

The previous prime is 3862063. The next prime is 3862087. The reversal of 3862080 is 802683.

3862080 is a `hidden beast` number, since 38 + 620 + 8 + 0 = 666.

3862080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 876096 + 2985984 = 936^2 + 1728^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3862087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25846 + ... + 25994.

Almost surely, 2^3862080 is an apocalyptic number.

3862080 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 3862080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6915150).

3862080 is an abundant number, since it is smaller than the sum of its proper divisors (9968220).

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

3862080 is a wasteful number, since it uses less digits than its factorization.

3862080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3862080 is about 1965.2175452097. The cubic root of 3862080 is about 156.8942720618.

The spelling of 3862080 in words is "three million, eight hundred sixty-two thousand, eighty".