3766383360000 has 720 divisors, whose sum is σ = 14097771487800. Its totient is φ = 1004285952000.

The previous prime is 3766383359951. The next prime is 3766383360119. The reversal of 3766383360000 is 633836673.

3766383360000 is a `hidden beast` number, since 3 + 7 + 6 + 6 + 3 + 8 + 33 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3766383360000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 311033946 + ... + 311046054.

Almost surely, 2^{3766383360000} is an apocalyptic number.

3766383360000 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 3766383360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7048885743900).

3766383360000 is an abundant number, since it is smaller than the sum of its proper divisors (10331388127800).

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

3766383360000 is an frugal number, since it uses more digits than its factorization.

3766383360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12166 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 3766383360000 in words is "three trillion, seven hundred sixty-six billion, three hundred eighty-three million, three hundred sixty thousand".