3648577830912 has 768 divisors, whose sum is σ = 12691485031680. Its totient is φ = 1025840775168.

The previous prime is 3648577830839. The next prime is 3648577830917. The reversal of 3648577830912 is 2190387758463.

3648577830912 is a `hidden beast` number, since 3 + 6 + 48 + 577 + 8 + 3 + 0 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 3648577830912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3648577830917) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3734470168 + ... + 3734471144.

It is an arithmetic number, because the mean of its divisors is an integer number (16525371135).

It is a 1-persistent number, because it is pandigital, but 2⋅3648577830912 = 7297155661824 is not.

Almost surely, 2^{3648577830912} is an apocalyptic number.

3648577830912 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 3648577830912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6345742515840).

3648577830912 is an abundant number, since it is smaller than the sum of its proper divisors (9042907200768).

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

3648577830912 is an frugal number, since it uses more digits than its factorization.

3648577830912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 3648577830912 in words is "three trillion, six hundred forty-eight billion, five hundred seventy-seven million, eight hundred thirty thousand, nine hundred twelve".