3716132966400 has 312 divisors, whose sum is σ = 12933191900320. Its totient is φ = 938811064320.

The previous prime is 3716132966387. The next prime is 3716132966519. The reversal of 3716132966400 is 46692316173.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3716132966400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5518464 + ... + 6155136.

Almost surely, 2^{3716132966400} is an apocalyptic number.

3716132966400 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 3716132966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6466595950160).

3716132966400 is an abundant number, since it is smaller than the sum of its proper divisors (9217058933920).

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

3716132966400 is a wasteful number, since it uses less digits than its factorization.

3716132966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636729 (or 636702 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 48.

The spelling of 3716132966400 in words is "three trillion, seven hundred sixteen billion, one hundred thirty-two million, nine hundred sixty-six thousand, four hundred".