3788680 has 48 divisors (see below), whose sum is σ = 9921420. Its totient is φ = 1298304.

The previous prime is 3788669. The next prime is 3788683. The reversal of 3788680 is 868873.

It can be written as a sum of positive squares in 2 ways, for example, as 3786916 + 1764 = 1946^2 + 42^2 .

It is a super-2 number, since 2×3788680² = 28708192284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3788683) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 994 + ... + 2926.

Almost surely, 2^3788680 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 3788680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4960710).

3788680 is an abundant number, since it is smaller than the sum of its proper divisors (6132740).

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

3788680 is a wasteful number, since it uses less digits than its factorization.

3788680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1947 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 3788680 is about 1946.4531846412. The cubic root of 3788680 is about 155.8939669552.

The spelling of 3788680 in words is "three million, seven hundred eighty-eight thousand, six hundred eighty".