3678868224 has 216 divisors, whose sum is σ = 11054377152. Its totient is φ = 1175715840.

The previous prime is 3678868223. The next prime is 3678868231. The reversal of 3678868224 is 4228688763.

It is not an unprimeable number, because it can be changed into a prime (3678868223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5738944 + ... + 5739584.

It is an arithmetic number, because the mean of its divisors is an integer number (51177672).

Almost surely, 2^3678868224 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 3678868224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5527188576).

3678868224 is an abundant number, since it is smaller than the sum of its proper divisors (7375508928).

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

3678868224 is a wasteful number, since it uses less digits than its factorization.

3678868224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 746 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 3678868224 is about 60653.6744476375. The cubic root of 3678868224 is about 1543.7302364574.

The spelling of 3678868224 in words is "three billion, six hundred seventy-eight million, eight hundred sixty-eight thousand, two hundred twenty-four".