3678084 has 36 divisors (see below), whose sum is σ = 9434880. Its totient is φ = 1207920.

The previous prime is 3678083. The next prime is 3678089. The reversal of 3678084 is 4808763.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3678084² = 27056603822112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 1837 + ... + 3275.

It is an arithmetic number, because the mean of its divisors is an integer number (262080).

Almost surely, 2^3678084 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 3678084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4717440).

3678084 is an abundant number, since it is smaller than the sum of its proper divisors (5756796).

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

3678084 is a wasteful number, since it uses less digits than its factorization.

3678084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3678084 is about 1917.8331522841. The cubic root of 3678084 is about 154.3620536385.

It can be divided in two parts, 36780 and 84, that added together give a square (36864 = 192²).

The spelling of 3678084 in words is "three million, six hundred seventy-eight thousand, eighty-four".