3648332967552 has 1536 divisors, whose sum is σ = 14368536000000. Its totient is φ = 879439970304.

The previous prime is 3648332967527. The next prime is 3648332967589. The reversal of 3648332967552 is 2557692338463.

It is a happy number.

3648332967552 is a `hidden beast` number, since 3 + 6 + 48 + 3 + 32 + 9 + 6 + 7 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3648332967552.

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 191 ways as a sum of consecutive naturals, for example, 2830358524 + ... + 2830359812.

It is an arithmetic number, because the mean of its divisors is an integer number (9354515625).

Almost surely, 2^{3648332967552} is an apocalyptic number.

3648332967552 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 3648332967552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7184268000000).

3648332967552 is an abundant number, since it is smaller than the sum of its proper divisors (10720203032448).

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

3648332967552 is a wasteful number, since it uses less digits than its factorization.

3648332967552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1362 counting only the distinct ones).

The product of its digits is 195955200, while the sum is 63.

The spelling of 3648332967552 in words is "three trillion, six hundred forty-eight billion, three hundred thirty-two million, nine hundred sixty-seven thousand, five hundred fifty-two".