3645428981376 has 512 divisors, whose sum is σ = 12179994624000. Its totient is φ = 959928496128.

The previous prime is 3645428981291. The next prime is 3645428981377. The reversal of 3645428981376 is 6731898245463.

3645428981376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3645428981376³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3645428981377) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1477675695 + ... + 1477678161.

It is an arithmetic number, because the mean of its divisors is an integer number (23789052000).

Almost surely, 2^{3645428981376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3645428981376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6089997312000).

3645428981376 is an abundant number, since it is smaller than the sum of its proper divisors (8534565642624).

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

3645428981376 is a wasteful number, since it uses less digits than its factorization.

3645428981376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381 (or 3355 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 66.

The spelling of 3645428981376 in words is "three trillion, six hundred forty-five billion, four hundred twenty-eight million, nine hundred eighty-one thousand, three hundred seventy-six".