3645714816 has 288 divisors, whose sum is σ = 11226075120. Its totient is φ = 1134981120.

The previous prime is 3645714811. The next prime is 3645714817. The reversal of 3645714816 is 6184175463.

3645714816 is a `hidden beast` number, since 3 + 64 + 571 + 4 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3645714811) 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 35 ways as a sum of consecutive naturals, for example, 51348061 + ... + 51348131.

Almost surely, 2^3645714816 is an apocalyptic number.

3645714816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3645714816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613037560).

3645714816 is an abundant number, since it is smaller than the sum of its proper divisors (7580360304).

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

3645714816 is a wasteful number, since it uses less digits than its factorization.

3645714816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 158 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 3645714816 is about 60379.7550177210. The cubic root of 3645714816 is about 1539.0789477516.

The spelling of 3645714816 in words is "three billion, six hundred forty-five million, seven hundred fourteen thousand, eight hundred sixteen".