3678080 has 64 divisors (see below), whose sum is σ = 10061280. Its totient is φ = 1259520.

The previous prime is 3678071. The next prime is 3678083. The reversal of 3678080 is 808763.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3678083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4070 + ... + 4890.

Almost surely, 2^3678080 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 3678080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5030640).

3678080 is an abundant number, since it is smaller than the sum of its proper divisors (6383200).

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

3678080 is an equidigital number, since it uses as much as digits as its factorization.

3678080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 3678080 is about 1917.8321094402. The cubic root of 3678080 is about 154.3619976810.

The spelling of 3678080 in words is "three million, six hundred seventy-eight thousand, eighty".