3642715013840 has 80 divisors (see below), whose sum is σ = 9679506186240. Its totient is φ = 1248893184000.

The previous prime is 3642715013807. The next prime is 3642715013843. The reversal of 3642715013840 is 483105172463.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3642715013791 and 3642715013800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3642715013843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23576840 + ... + 23730840.

It is an arithmetic number, because the mean of its divisors is an integer number (120993827328).

Almost surely, 2^{3642715013840} is an apocalyptic number.

It is an amenable number.

3642715013840 is an abundant number, since it is smaller than the sum of its proper divisors (6036791172400).

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

3642715013840 is a wasteful number, since it uses less digits than its factorization.

3642715013840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196260 (or 196254 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 3642715013840 in words is "three trillion, six hundred forty-two billion, seven hundred fifteen million, thirteen thousand, eight hundred forty".