3643436160 has 768 divisors, whose sum is σ = 16214083200. Its totient is φ = 766402560.

The previous prime is 3643436131. The next prime is 3643436171. The reversal of 3643436160 is 616343463.

3643436160 is a `hidden beast` number, since 3 + 6 + 4 + 34 + 3 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 11007195 + ... + 11007525.

Almost surely, 2^3643436160 is an apocalyptic number.

3643436160 is a gapful number since it is divisible by the number (30) 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 3643436160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8107041600).

3643436160 is an abundant number, since it is smaller than the sum of its proper divisors (12570647040).

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

3643436160 is a wasteful number, since it uses less digits than its factorization.

3643436160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3643436160 is about 60360.8826973231. The cubic root of 3643436160 is about 1538.7582276215.

The spelling of 3643436160 in words is "three billion, six hundred forty-three million, four hundred thirty-six thousand, one hundred sixty".