3605634816 has 108 divisors (see below), whose sum is σ = 11163097512. Its totient is φ = 1030170624.

The previous prime is 3605634811. The next prime is 3605634847. The reversal of 3605634816 is 6184365063.

3605634816 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3605634811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10275 + ... + 85538.

It is an arithmetic number, because the mean of its divisors is an integer number (103362014).

Almost surely, 2^3605634816 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 3605634816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581548756).

3605634816 is an abundant number, since it is smaller than the sum of its proper divisors (7557462696).

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

3605634816 is an equidigital number, since it uses as much as digits as its factorization.

3605634816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95846 (or 95825 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 3605634816 is about 60046.9384398572. The cubic root of 3605634816 is about 1533.4180799201.

Adding to 3605634816 its reverse (6184365063), we get a palindrome (9789999879).

The spelling of 3605634816 in words is "three billion, six hundred five million, six hundred thirty-four thousand, eight hundred sixteen".