3689763840000 has 2800 divisors, whose sum is σ = 16646352662016. Its totient is φ = 796262400000.

The previous prime is 3689763839989. The next prime is 3689763840011. The reversal of 3689763840000 is 483679863.

It is an interprime number because it is at equal distance from previous prime (3689763839989) and next prime (3689763840011).

It is a tau number, because it is divible by the number of its divisors (2800).

It is a super-2 number, since 2×3689763840000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 89994239980 + ... + 89994240020.

Almost surely, 2^{3689763840000} is an apocalyptic number.

3689763840000 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 3689763840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8323176331008).

3689763840000 is an abundant number, since it is smaller than the sum of its proper divisors (12956588822016).

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

3689763840000 is an frugal number, since it uses more digits than its factorization.

3689763840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 3689763840000 in words is "three trillion, six hundred eighty-nine billion, seven hundred sixty-three million, eight hundred forty thousand".