3648156995280 has 320 divisors, whose sum is σ = 13158287101440. Its totient is φ = 818905448448.

The previous prime is 3648156995279. The next prime is 3648156995297. The reversal of 3648156995280 is 825996518463.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 28511286 + ... + 28638954.

It is an arithmetic number, because the mean of its divisors is an integer number (41119647192).

Almost surely, 2^{3648156995280} is an apocalyptic number.

3648156995280 is a gapful number since it is divisible by the number (30) 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 3648156995280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6579143550720).

3648156995280 is an abundant number, since it is smaller than the sum of its proper divisors (9510130106160).

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

3648156995280 is a wasteful number, since it uses less digits than its factorization.

3648156995280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127998 (or 127992 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 66.

The spelling of 3648156995280 in words is "three trillion, six hundred forty-eight billion, one hundred fifty-six million, nine hundred ninety-five thousand, two hundred eighty".