3678184224 has 576 divisors, whose sum is σ = 13173608448. Its totient is φ = 958003200.

The previous prime is 3678184207. The next prime is 3678184241. The reversal of 3678184224 is 4224818763.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3678184207) and next prime (3678184241).

It is a self number, because there is not a number n which added to its sum of digits gives 3678184224.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54898239 + ... + 54898305.

It is an arithmetic number, because the mean of its divisors is an integer number (22870848).

Almost surely, 2^3678184224 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 3678184224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6586804224).

3678184224 is an abundant number, since it is smaller than the sum of its proper divisors (9495424224).

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

3678184224 is a wasteful number, since it uses less digits than its factorization.

3678184224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 170 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 3678184224 is about 60648.0356153437. The cubic root of 3678184224 is about 1543.6345569472.

The spelling of 3678184224 in words is "three billion, six hundred seventy-eight million, one hundred eighty-four thousand, two hundred twenty-four".