3643796160 has 168 divisors, whose sum is σ = 13078297440. Its totient is φ = 929415168.

The previous prime is 3643796159. The next prime is 3643796161. The reversal of 3643796160 is 616973463.

It is an interprime number because it is at equal distance from previous prime (3643796159) and next prime (3643796161).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3643796161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38736 + ... + 93744.

Almost surely, 2^3643796160 is an apocalyptic number.

3643796160 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 3643796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6539148720).

3643796160 is an abundant number, since it is smaller than the sum of its proper divisors (9434501280).

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

3643796160 is a wasteful number, since it uses less digits than its factorization.

3643796160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55055 (or 55042 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3643796160 is about 60363.8646874105. The cubic root of 3643796160 is about 1538.8089064032.

The spelling of 3643796160 in words is "three billion, six hundred forty-three million, seven hundred ninety-six thousand, one hundred sixty".