3788939980800 has 2808 divisors, whose sum is σ = 16440588453744. Its totient is φ = 861237411840.

The previous prime is 3788939980789. The next prime is 3788939980811. The reversal of 3788939980800 is 80899398873.

It is a happy number.

3788939980800 is a `hidden beast` number, since 3 + 7 + 8 + 89 + 399 + 80 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3788939980789) and next prime (3788939980811).

It is a tau number, because it is divible by the number of its divisors (2808).

It is a super-4 number, since 4×3788939980800⁴ (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 71489433574 + ... + 71489433626.

It is an arithmetic number, because the mean of its divisors is an integer number (5854910418).

Almost surely, 2^{3788939980800} is an apocalyptic number.

3788939980800 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 3788939980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8220294226872).

3788939980800 is an abundant number, since it is smaller than the sum of its proper divisors (12651648472944).

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

3788939980800 is a wasteful number, since it uses less digits than its factorization.

3788939980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 72.

The spelling of 3788939980800 in words is "three trillion, seven hundred eighty-eight billion, nine hundred thirty-nine million, nine hundred eighty thousand, eight hundred".