3663124344 has 128 divisors (see below), whose sum is σ = 11143296000. Its totient is φ = 1105747200.

The previous prime is 3663124343. The next prime is 3663124403. The reversal of 3663124344 is 4434213663.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3663124299 and 3663124308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3663124343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 641052 + ... + 646740.

It is an arithmetic number, because the mean of its divisors is an integer number (87057000).

Almost surely, 2^3663124344 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 3663124344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571648000).

3663124344 is an abundant number, since it is smaller than the sum of its proper divisors (7480171656).

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

3663124344 is a wasteful number, since it uses less digits than its factorization.

3663124344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5986 (or 5976 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 3663124344 is about 60523.7502473203. The cubic root of 3663124344 is about 1541.5249335193.

The spelling of 3663124344 in words is "three billion, six hundred sixty-three million, one hundred twenty-four thousand, three hundred forty-four".