3738661920000 has 2520 divisors, whose sum is σ = 16889914247360. Its totient is φ = 806215680000.

The previous prime is 3738661919963. The next prime is 3738661920017. The reversal of 3738661920000 is 291668373.

3738661920000 is a `hidden beast` number, since 3 + 7 + 3 + 8 + 6 + 619 + 20 + 0 + 0 + 0 = 666.

3738661920000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2520).

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 279 ways as a sum of consecutive naturals, for example, 15513119880 + ... + 15513120120.

Almost surely, 2^{3738661920000} is an apocalyptic number.

3738661920000 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 3738661920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8444957123680).

3738661920000 is an abundant number, since it is smaller than the sum of its proper divisors (13151252327360).

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

3738661920000 is an frugal number, since it uses more digits than its factorization.

3738661920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 3738661920000 in words is "three trillion, seven hundred thirty-eight billion, six hundred sixty-one million, nine hundred twenty thousand".