3642078745344 has 288 divisors, whose sum is σ = 10519357895424. Its totient is φ = 1112019517440.

The previous prime is 3642078745301. The next prime is 3642078745369. The reversal of 3642078745344 is 4435478702463.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2011086199 + ... + 2011088009.

It is an arithmetic number, because the mean of its divisors is an integer number (36525548248).

Almost surely, 2^{3642078745344} 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 3642078745344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5259678947712).

3642078745344 is an abundant number, since it is smaller than the sum of its proper divisors (6877279150080).

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

3642078745344 is a wasteful number, since it uses less digits than its factorization.

3642078745344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 57.

The spelling of 3642078745344 in words is "three trillion, six hundred forty-two billion, seventy-eight million, seven hundred forty-five thousand, three hundred forty-four".