3672788011291 has 16 divisors (see below), whose sum is σ = 4202193264640. Its totient is φ = 3144563817120.

The previous prime is 3672788011267. The next prime is 3672788011297. The reversal of 3672788011291 is 1921108872763.

3672788011291 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3672788011291 - 2⁵ = 3672788011259 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3672788011297) 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, 72320590 + ... + 72371356.

It is an arithmetic number, because the mean of its divisors is an integer number (262637079040).

Almost surely, 2^{3672788011291} is an apocalyptic number.

3672788011291 is a deficient number, since it is larger than the sum of its proper divisors (529405253349).

3672788011291 is a wasteful number, since it uses less digits than its factorization.

3672788011291 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62194.

The product of its (nonzero) digits is 2032128, while the sum is 55.

The spelling of 3672788011291 in words is "three trillion, six hundred seventy-two billion, seven hundred eighty-eight million, eleven thousand, two hundred ninety-one".