3682480 has 40 divisors (see below), whose sum is σ = 8642304. Its totient is φ = 1459200.

The previous prime is 3682457. The next prime is 3682501. The reversal of 3682480 is 842863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

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, 15160 + ... + 15400.

Almost surely, 2^3682480 is an apocalyptic number.

It is an amenable number.

3682480 is an abundant number, since it is smaller than the sum of its proper divisors (4959824).

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

3682480 is a wasteful number, since it uses less digits than its factorization.

3682480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 3682480 is about 1918.9788951419. The cubic root of 3682480 is about 154.4235263532.

The spelling of 3682480 in words is "three million, six hundred eighty-two thousand, four hundred eighty".