3642071431124 has 48 divisors (see below), whose sum is σ = 7602467217408. Its totient is φ = 1492704367968.

The previous prime is 3642071431093. The next prime is 3642071431127. The reversal of 3642071431124 is 4211341702463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3642071431127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2427479 + ... + 3629985.

It is an arithmetic number, because the mean of its divisors is an integer number (158384733696).

Almost surely, 2^{3642071431124} is an apocalyptic number.

It is an amenable number.

3642071431124 is an abundant number, since it is smaller than the sum of its proper divisors (3960395786284).

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

3642071431124 is a wasteful number, since it uses less digits than its factorization.

3642071431124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207244 (or 1207242 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 3642071431124 in words is "three trillion, six hundred forty-two billion, seventy-one million, four hundred thirty-one thousand, one hundred twenty-four".