3766752000000 has 2016 divisors, whose sum is σ = 15720759709200. Its totient is φ = 860160000000.

The previous prime is 3766751999993. The next prime is 3766752000019. The reversal of 3766752000000 is 2576673.

It is a happy number.

3766752000000 is a `hidden beast` number, since 3 + 76 + 67 + 520 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 167 ways as a sum of consecutive naturals, for example, 91871999980 + ... + 91872000020.

Almost surely, 2^{3766752000000} is an apocalyptic number.

3766752000000 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 3766752000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7860379854600).

3766752000000 is an abundant number, since it is smaller than the sum of its proper divisors (11954007709200).

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

3766752000000 is an equidigital number, since it uses as much as digits as its factorization.

3766752000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

Adding to 3766752000000 its reverse (2576673), we get a palindrome (3766754576673).

The spelling of 3766752000000 in words is "three trillion, seven hundred sixty-six billion, seven hundred fifty-two million", and thus it is an aban number.