3716242014240 has 1440 divisors, whose sum is σ = 16302713676480. Its totient is φ = 792536887296.

The previous prime is 3716242014229. The next prime is 3716242014241. The reversal of 3716242014240 is 424102426173.

3716242014240 is a `hidden beast` number, since 3 + 7 + 1 + 6 + 24 + 201 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3716242014195 and 3716242014204.

It is not an unprimeable number, because it can be changed into a prime (3716242014241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 808403622 + ... + 808408218.

It is an arithmetic number, because the mean of its divisors is an integer number (11321328942).

Almost surely, 2^{3716242014240} is an apocalyptic number.

3716242014240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3716242014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8151356838240).

3716242014240 is an abundant number, since it is smaller than the sum of its proper divisors (12586471662240).

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

3716242014240 is a wasteful number, since it uses less digits than its factorization.

3716242014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4724 (or 4700 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 3716242014240 in words is "three trillion, seven hundred sixteen billion, two hundred forty-two million, fourteen thousand, two hundred forty".