3716800076000 has 288 divisors, whose sum is σ = 10187755826976. Its totient is φ = 1331379456000.

The previous prime is 3716800075987. The next prime is 3716800076021. The reversal of 3716800076000 is 6700086173.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32370692 + ... + 32485308.

It is an arithmetic number, because the mean of its divisors is an integer number (35374152177).

Almost surely, 2^{3716800076000} 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 3716800076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5093877913488).

3716800076000 is an abundant number, since it is smaller than the sum of its proper divisors (6470955750976).

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

3716800076000 is a wasteful number, since it uses less digits than its factorization.

3716800076000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114731 (or 114702 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The spelling of 3716800076000 in words is "three trillion, seven hundred sixteen billion, eight hundred million, seventy-six thousand".