3711602442240 has 3840 divisors, whose sum is σ = 18360424857600. Its totient is φ = 687970713600.

The previous prime is 3711602442187. The next prime is 3711602442253. The reversal of 3711602442240 is 422442061173.

3711602442240 is a `hidden beast` number, since 3 + 7 + 1 + 1 + 602 + 4 + 4 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 = 3711602442195 and 3711602442204.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 100313579502 + ... + 100313579538.

It is an arithmetic number, because the mean of its divisors is an integer number (4781360640).

Almost surely, 2^{3711602442240} is an apocalyptic number.

3711602442240 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 3711602442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9180212428800).

3711602442240 is an abundant number, since it is smaller than the sum of its proper divisors (14648822415360).

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

3711602442240 is a wasteful number, since it uses less digits than its factorization.

3711602442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 115 counting only the distinct ones).

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

The spelling of 3711602442240 in words is "three trillion, seven hundred eleven billion, six hundred two million, four hundred forty-two thousand, two hundred forty".