3645288967680 has 240 divisors, whose sum is σ = 12645785037600. Its totient is φ = 970450550784.

The previous prime is 3645288967673. The next prime is 3645288967739. The reversal of 3645288967680 is 867698825463.

3645288967680 is a `hidden beast` number, since 3 + 6 + 4 + 528 + 8 + 96 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3645288967599 and 3645288967608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13668894 + ... + 13933026.

It is an arithmetic number, because the mean of its divisors is an integer number (52690770990).

Almost surely, 2^{3645288967680} is an apocalyptic number.

3645288967680 is a gapful number since it is divisible by the number (30) 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 3645288967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6322892518800).

3645288967680 is an abundant number, since it is smaller than the sum of its proper divisors (9000496069920).

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

3645288967680 is a wasteful number, since it uses less digits than its factorization.

3645288967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264761 (or 264742 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 3645288967680 in words is "three trillion, six hundred forty-five billion, two hundred eighty-eight million, nine hundred sixty-seven thousand, six hundred eighty".