3714041314368 has 672 divisors, whose sum is σ = 13412565504000. Its totient is φ = 954559365120.

The previous prime is 3714041314349. The next prime is 3714041314393. The reversal of 3714041314368 is 8634131404173.

3714041314368 is a `hidden beast` number, since 3 + 7 + 140 + 41 + 31 + 436 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1857948633 + ... + 1857950631.

Almost surely, 2^{3714041314368} 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 3714041314368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6706282752000).

3714041314368 is an abundant number, since it is smaller than the sum of its proper divisors (9698524189632).

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

3714041314368 is a wasteful number, since it uses less digits than its factorization.

3714041314368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 3714041314368 in words is "three trillion, seven hundred fourteen billion, forty-one million, three hundred fourteen thousand, three hundred sixty-eight".