3678408 has 48 divisors (see below), whose sum is σ = 10183680. Its totient is φ = 1198944.

The previous prime is 3678407. The next prime is 3678431. The reversal of 3678408 is 8048763.

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 (3678407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2841 + ... + 3927.

It is an arithmetic number, because the mean of its divisors is an integer number (212160).

Almost surely, 2^3678408 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 3678408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5091840).

3678408 is an abundant number, since it is smaller than the sum of its proper divisors (6505272).

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

3678408 is a wasteful number, since it uses less digits than its factorization.

3678408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1139 counting only the distinct ones).

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

The square root of 3678408 is about 1917.9176207543. The cubic root of 3678408 is about 154.3665860560.

The spelling of 3678408 in words is "three million, six hundred seventy-eight thousand, four hundred eight".