3645788160 has 416 divisors, whose sum is σ = 13682246400. Its totient is φ = 828506112.

The previous prime is 3645788149. The next prime is 3645788161. The reversal of 3645788160 is 618875463.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3645788161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21073834 + ... + 21074006.

Almost surely, 2^3645788160 is an apocalyptic number.

3645788160 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 3645788160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6841123200).

3645788160 is an abundant number, since it is smaller than the sum of its proper divisors (10036458240).

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

3645788160 is an equidigital number, since it uses as much as digits as its factorization.

3645788160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 3645788160 is about 60380.3623705589. The cubic root of 3645788160 is about 1539.0892686768.

The spelling of 3645788160 in words is "three billion, six hundred forty-five million, seven hundred eighty-eight thousand, one hundred sixty".