3830580 has 72 divisors (see below), whose sum is σ = 12520872. Its totient is φ = 942336.

The previous prime is 3830579. The next prime is 3830597. The reversal of 3830580 is 850383.

3830580 is a `hidden beast` number, since 3 + 83 + 0 + 580 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 121104 + 3709476 = 348^2 + 1926^2 .

It is a super-3 number, since 3×3830580³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1522 + ... + 3158.

It is an arithmetic number, because the mean of its divisors is an integer number (173901).

Almost surely, 2^3830580 is an apocalyptic number.

3830580 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 3830580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6260436).

3830580 is an abundant number, since it is smaller than the sum of its proper divisors (8690292).

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

3830580 is a wasteful number, since it uses less digits than its factorization.

3830580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3830580 is about 1957.1867565462. The cubic root of 3830580 is about 156.4665520015.

The spelling of 3830580 in words is "three million, eight hundred thirty thousand, five hundred eighty".