3645643848 has 192 divisors, whose sum is σ = 12052992000. Its totient is φ = 896987520.

The previous prime is 3645643847. The next prime is 3645643909. The reversal of 3645643848 is 8483465463.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3645643848.

It is not an unprimeable number, because it can be changed into a prime (3645643847) 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 47 ways as a sum of consecutive naturals, for example, 381513 + ... + 390951.

It is an arithmetic number, because the mean of its divisors is an integer number (62776000).

Almost surely, 2^3645643848 is an apocalyptic number.

3645643848 is a gapful number since it is divisible by the number (38) 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 3645643848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026496000).

3645643848 is an abundant number, since it is smaller than the sum of its proper divisors (8407348152).

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

3645643848 is a wasteful number, since it uses less digits than its factorization.

3645643848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9496 (or 9481 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 51.

The square root of 3645643848 is about 60379.1673344375. The cubic root of 3645643848 is about 1539.0689610440.

The spelling of 3645643848 in words is "three billion, six hundred forty-five million, six hundred forty-three thousand, eight hundred forty-eight".