3365648326656 has 1792 divisors, whose sum is σ = 13148340480000. Its totient is φ = 842764124160.

The previous prime is 3365648326603. The next prime is 3365648326669. The reversal of 3365648326656 is 6566238465633.

3365648326656 is a `hidden beast` number, since 3 + 3 + 6 + 564 + 8 + 3 + 2 + 6 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×3365648326656² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3365648326593 and 3365648326602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30877507530 + ... + 30877507638.

Almost surely, 2^{3365648326656} is an apocalyptic number.

3365648326656 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 3365648326656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6574170240000).

3365648326656 is an abundant number, since it is smaller than the sum of its proper divisors (9782692153344).

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

3365648326656 is a wasteful number, since it uses less digits than its factorization.

3365648326656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 169 counting only the distinct ones).

The product of its digits is 335923200, while the sum is 63.

The spelling of 3365648326656 in words is "three trillion, three hundred sixty-five billion, six hundred forty-eight million, three hundred twenty-six thousand, six hundred fifty-six".