3652443336672 has 192 divisors, whose sum is σ = 11549419560000. Its totient is φ = 1116285732864.

The previous prime is 3652443336611. The next prime is 3652443336727. The reversal of 3652443336672 is 2766333442563.

3652443336672 is a `hidden beast` number, since 3 + 6 + 5 + 244 + 3 + 336 + 67 + 2 = 666.

It is a super-3 number, since 3×3652443336672³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 582354 + ... + 2764782.

It is an arithmetic number, because the mean of its divisors is an integer number (60153226875).

Almost surely, 2^{3652443336672} is an apocalyptic number.

3652443336672 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 3652443336672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5774709780000).

3652443336672 is an abundant number, since it is smaller than the sum of its proper divisors (7896976223328).

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

3652443336672 is a wasteful number, since it uses less digits than its factorization.

3652443336672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182610 (or 2182596 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 54.

The spelling of 3652443336672 in words is "three trillion, six hundred fifty-two billion, four hundred forty-three million, three hundred thirty-six thousand, six hundred seventy-two".