3648289053750 has 160 divisors (see below), whose sum is σ = 9949015296000. Its totient is φ = 884227440000.

The previous prime is 3648289053749. The next prime is 3648289053791. The reversal of 3648289053750 is 573509828463.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 250751476 + ... + 250766024.

It is an arithmetic number, because the mean of its divisors is an integer number (62181345600).

Almost surely, 2^{3648289053750} is an apocalyptic number.

3648289053750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3648289053750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4974507648000).

3648289053750 is an abundant number, since it is smaller than the sum of its proper divisors (6300726242250).

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

3648289053750 is a wasteful number, since it uses less digits than its factorization.

3648289053750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20664 (or 20649 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 60.

The spelling of 3648289053750 in words is "three trillion, six hundred forty-eight billion, two hundred eighty-nine million, fifty-three thousand, seven hundred fifty".