3724236136960 has 320 divisors, whose sum is σ = 9281536336512. Its totient is φ = 1432236589056.

The previous prime is 3724236136937. The next prime is 3724236136961. The reversal of 3724236136960 is 696316324273.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 3724236136898 and 3724236136907.

It is not an unprimeable number, because it can be changed into a prime (3724236136961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1952928327 + ... + 1952930233.

Almost surely, 2^{3724236136960} 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 3724236136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4640768168256).

3724236136960 is an abundant number, since it is smaller than the sum of its proper divisors (5557300199552).

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

3724236136960 is a wasteful number, since it uses less digits than its factorization.

3724236136960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 52.

The spelling of 3724236136960 in words is "three trillion, seven hundred twenty-four billion, two hundred thirty-six million, one hundred thirty-six thousand, nine hundred sixty".