3645183168 has 448 divisors, whose sum is σ = 12342205440. Its totient is φ = 1045094400.

The previous prime is 3645183103. The next prime is 3645183203. The reversal of 3645183168 is 8613815463.

3645183168 is a `hidden beast` number, since 36 + 451 + 8 + 3 + 168 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49933980 + ... + 49934052.

Almost surely, 2^3645183168 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 3645183168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6171102720).

3645183168 is an abundant number, since it is smaller than the sum of its proper divisors (8697022272).

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

3645183168 is a wasteful number, since it uses less digits than its factorization.

3645183168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 3645183168 is about 60375.3523219534. The cubic root of 3645183168 is about 1539.0041304146.

The spelling of 3645183168 in words is "three billion, six hundred forty-five million, one hundred eighty-three thousand, one hundred sixty-eight".