3781189142784 has 243 divisors, whose sum is σ = 11585985957273. Its totient is φ = 1185757618176.

The previous prime is 3781189142747. The next prime is 3781189142789. The reversal of 3781189142784 is 4872419811873.

The square root of 3781189142784 is 1944528.

It is a perfect power (a square), and thus also a powerful number.

3781189142784 is a `hidden beast` number, since 3 + 7 + 8 + 118 + 91 + 427 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2943832377600 + 837356765184 = 1715760^2 + 915072^2 .

It is not an unprimeable number, because it can be changed into a prime (3781189142789) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1586733657 + ... + 1586736039.

Almost surely, 2^{3781189142784} is an apocalyptic number.

3781189142784 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3781189142784 is the 1944528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3781189142784

3781189142784 is an abundant number, since it is smaller than the sum of its proper divisors (7804796814489).

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

3781189142784 is an frugal number, since it uses more digits than its factorization.

3781189142784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4822 (or 2405 counting only the distinct ones).

The product of its digits is 21676032, while the sum is 63.

The spelling of 3781189142784 in words is "three trillion, seven hundred eighty-one billion, one hundred eighty-nine million, one hundred forty-two thousand, seven hundred eighty-four".