3618736144 has 80 divisors (see below), whose sum is σ = 7769502720. Its totient is φ = 1625149440.

The previous prime is 3618736111. The next prime is 3618736201. The reversal of 3618736144 is 4416378163.

It is a self number, because there is not a number n which added to its sum of digits gives 3618736144.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 612597 + ... + 618475.

It is an arithmetic number, because the mean of its divisors is an integer number (97118784).

Almost surely, 2^3618736144 is an apocalyptic number.

3618736144 is a gapful number since it is divisible by the number (34) 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 3618736144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884751360).

3618736144 is an abundant number, since it is smaller than the sum of its proper divisors (4150766576).

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

3618736144 is a wasteful number, since it uses less digits than its factorization.

3618736144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6008 (or 6002 counting only the distinct ones).

The product of its digits is 290304, while the sum is 43.

The square root of 3618736144 is about 60155.9319103278. The cubic root of 3618736144 is about 1535.2730958111.

The spelling of 3618736144 in words is "three billion, six hundred eighteen million, seven hundred thirty-six thousand, one hundred forty-four".