3628538560512 has 1280 divisors, whose sum is σ = 12332323872000. Its totient is φ = 1057493090304.

The previous prime is 3628538560511. The next prime is 3628538560613. The reversal of 3628538560512 is 2150658358263.

It is a happy number.

3628538560512 is a `hidden beast` number, since 3 + 6 + 2 + 8 + 538 + 56 + 0 + 51 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3628538560511) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 61500653539 + ... + 61500653597.

It is an arithmetic number, because the mean of its divisors is an integer number (9634628025).

Almost surely, 2^{3628538560512} is an apocalyptic number.

3628538560512 is a gapful number since it is divisible by the number (32) 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 3628538560512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6166161936000).

3628538560512 is an abundant number, since it is smaller than the sum of its proper divisors (8703785311488).

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

3628538560512 is an equidigital number, since it uses as much as digits as its factorization.

3628538560512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 3628538560512 in words is "three trillion, six hundred twenty-eight billion, five hundred thirty-eight million, five hundred sixty thousand, five hundred twelve".