3786580 has 96 divisors (see below), whose sum is σ = 10112256. Its totient is φ = 1161216.

The previous prime is 3786577. The next prime is 3786581. The reversal of 3786580 is 856873.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3786581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88039 + ... + 88081.

It is an arithmetic number, because the mean of its divisors is an integer number (105336).

Almost surely, 2^3786580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3786580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056128).

3786580 is an abundant number, since it is smaller than the sum of its proper divisors (6325676).

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

3786580 is a wasteful number, since it uses less digits than its factorization.

3786580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 3786580 is about 1945.9136671497. The cubic root of 3786580 is about 155.8651585192.

The spelling of 3786580 in words is "three million, seven hundred eighty-six thousand, five hundred eighty".