3711398656 has 144 divisors (see below), whose sum is σ = 9275999040. Its totient is φ = 1445068800.

The previous prime is 3711398653. The next prime is 3711398729. The reversal of 3711398656 is 6568931173.

3711398656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3711398651) 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, 881356 + ... + 885556.

It is an arithmetic number, because the mean of its divisors is an integer number (64416660).

Almost surely, 2^3711398656 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 3711398656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4637999520).

3711398656 is an abundant number, since it is smaller than the sum of its proper divisors (5564600384).

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

3711398656 is a wasteful number, since it uses less digits than its factorization.

3711398656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4270 (or 4256 counting only the distinct ones).

The product of its digits is 816480, while the sum is 49.

The square root of 3711398656 is about 60921.2496260541. The cubic root of 3711398656 is about 1548.2670408003.

The spelling of 3711398656 in words is "three billion, seven hundred eleven million, three hundred ninety-eight thousand, six hundred fifty-six".