3781649031840 has 288 divisors, whose sum is σ = 13368184174800. Its totient is φ = 972787875840.

The previous prime is 3781649031781. The next prime is 3781649031847. The reversal of 3781649031840 is 481309461873.

3781649031840 is a `hidden beast` number, since 3 + 7 + 81 + 6 + 490 + 31 + 8 + 40 = 666.

3781649031840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1533192336 + 3780115839504 = 39156^2 + 1944252^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (3781649031847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4894716 + ... + 5614404.

Almost surely, 2^{3781649031840} is an apocalyptic number.

3781649031840 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 3781649031840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6684092087400).

3781649031840 is an abundant number, since it is smaller than the sum of its proper divisors (9586535142960).

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

3781649031840 is a wasteful number, since it uses less digits than its factorization.

3781649031840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719840 (or 719829 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 3781649031840 in words is "three trillion, seven hundred eighty-one billion, six hundred forty-nine million, thirty-one thousand, eight hundred forty".