3677480 has 32 divisors (see below), whose sum is σ = 8375400. Its totient is φ = 1453056.

The previous prime is 3677477. The next prime is 3677533. The reversal of 3677480 is 847763.

It can be written as a sum of positive squares in 4 ways, for example, as 3290596 + 386884 = 1814^2 + 622^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3677480.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3044 + ... + 4076.

Almost surely, 2^3677480 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 3677480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187700).

3677480 is an abundant number, since it is smaller than the sum of its proper divisors (4697920).

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

3677480 is a wasteful number, since it uses less digits than its factorization.

3677480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 3677480 is about 1917.6756764375. The cubic root of 3677480 is about 154.3536036063.

The spelling of 3677480 in words is "three million, six hundred seventy-seven thousand, four hundred eighty".