3642289735680 has 384 divisors, whose sum is σ = 13364884915200. Its totient is φ = 939943526400.

The previous prime is 3642289735663. The next prime is 3642289735709. The reversal of 3642289735680 is 865379822463.

It is a happy number.

3642289735680 is a `hidden beast` number, since 3 + 6 + 42 + 28 + 9 + 7 + 3 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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, 8358400 + ... + 8783360.

It is an arithmetic number, because the mean of its divisors is an integer number (34804387800).

Almost surely, 2^{3642289735680} is an apocalyptic number.

3642289735680 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 3642289735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6682442457600).

3642289735680 is an abundant number, since it is smaller than the sum of its proper divisors (9722595179520).

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

3642289735680 is a wasteful number, since it uses less digits than its factorization.

3642289735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425028 (or 425002 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 3642289735680 in words is "three trillion, six hundred forty-two billion, two hundred eighty-nine million, seven hundred thirty-five thousand, six hundred eighty".