3677780 has 48 divisors (see below), whose sum is σ = 8482320. Its totient is φ = 1333248.

The previous prime is 3677771. The next prime is 3677783. The reversal of 3677780 is 877763.

It can be written as a sum of positive squares in 8 ways, for example, as 44944 + 3632836 = 212^2 + 1906^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3677783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9674 + ... + 10046.

It is an arithmetic number, because the mean of its divisors is an integer number (176715).

Almost surely, 2^3677780 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 3677780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241160).

3677780 is an abundant number, since it is smaller than the sum of its proper divisors (4804540).

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

3677780 is a wasteful number, since it uses less digits than its factorization.

3677780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 38.

The square root of 3677780 is about 1917.7538945339. The cubic root of 3677780 is about 154.3578007578.

The spelling of 3677780 in words is "three million, six hundred seventy-seven thousand, seven hundred eighty".