3644305026336 has 576 divisors, whose sum is σ = 11658338205696. Its totient is φ = 1072266854400.

The previous prime is 3644305026301. The next prime is 3644305026347. The reversal of 3644305026336 is 6336205034463.

3644305026336 is a `hidden beast` number, since 3 + 6 + 4 + 4 + 3 + 0 + 5 + 0 + 2 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3644305026291 and 3644305026300.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6736238226 + ... + 6736238766.

It is an arithmetic number, because the mean of its divisors is an integer number (20240170496).

Almost surely, 2^{3644305026336} is an apocalyptic number.

3644305026336 is a gapful number since it is divisible by the number (36) 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 3644305026336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5829169102848).

3644305026336 is an abundant number, since it is smaller than the sum of its proper divisors (8014033179360).

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

3644305026336 is a wasteful number, since it uses less digits than its factorization.

3644305026336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 45.

The spelling of 3644305026336 in words is "three trillion, six hundred forty-four billion, three hundred five million, twenty-six thousand, three hundred thirty-six".