3716016413000 has 512 divisors, whose sum is σ = 9680186880000. Its totient is φ = 1330386534400.

The previous prime is 3716016412987. The next prime is 3716016413041. The reversal of 3716016413000 is 3146106173.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3542436476 + ... + 3542437524.

It is an arithmetic number, because the mean of its divisors is an integer number (18906615000).

Almost surely, 2^{3716016413000} 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 3716016413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840093440000).

3716016413000 is an abundant number, since it is smaller than the sum of its proper divisors (5964170467000).

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

3716016413000 is a wasteful number, since it uses less digits than its factorization.

3716016413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The spelling of 3716016413000 in words is "three trillion, seven hundred sixteen billion, sixteen million, four hundred thirteen thousand".