3684576168 has 384 divisors, whose sum is σ = 13061664000. Its totient is φ = 953648640.

The previous prime is 3684576157. The next prime is 3684576173. The reversal of 3684576168 is 8616754863.

3684576168 is a `hidden beast` number, since 3 + 6 + 8 + 4 + 576 + 1 + 68 = 666.

It is a super-2 number, since 2×3684576168² = 27152203075587128448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 8392893 + ... + 8393331.

It is an arithmetic number, because the mean of its divisors is an integer number (34014750).

Almost surely, 2^3684576168 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 3684576168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6530832000).

3684576168 is an abundant number, since it is smaller than the sum of its proper divisors (9377087832).

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

3684576168 is a wasteful number, since it uses less digits than its factorization.

3684576168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 525 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 3684576168 is about 60700.7097816821. The cubic root of 3684576168 is about 1544.5282148897.

The spelling of 3684576168 in words is "three billion, six hundred eighty-four million, five hundred seventy-six thousand, one hundred sixty-eight".