3643385856 has 384 divisors, whose sum is σ = 11472814080. Its totient is φ = 1017446400.

The previous prime is 3643385843. The next prime is 3643385881. The reversal of 3643385856 is 6585833463.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 3643385799 and 3643385808.

It is an unprimeable number.

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, 77518825 + ... + 77518871.

It is an arithmetic number, because the mean of its divisors is an integer number (29877120).

Almost surely, 2^3643385856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3643385856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5736407040).

3643385856 is an abundant number, since it is smaller than the sum of its proper divisors (7829428224).

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

3643385856 is a wasteful number, since it uses less digits than its factorization.

3643385856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 51.

The square root of 3643385856 is about 60360.4660021773. The cubic root of 3643385856 is about 1538.7511458405.

The spelling of 3643385856 in words is "three billion, six hundred forty-three million, three hundred eighty-five thousand, eight hundred fifty-six".