3782830781418 has 128 divisors (see below), whose sum is σ = 8319532032000. Its totient is φ = 1139654610432.

The previous prime is 3782830781399. The next prime is 3782830781449. The reversal of 3782830781418 is 8141870382873.

3782830781418 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1181025805 + ... + 1181029007.

It is an arithmetic number, because the mean of its divisors is an integer number (64996344000).

Almost surely, 2^{3782830781418} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3782830781418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4159766016000).

3782830781418 is an abundant number, since it is smaller than the sum of its proper divisors (4536701250582).

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

3782830781418 is a wasteful number, since it uses less digits than its factorization.

3782830781418 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4836.

The product of its (nonzero) digits is 14450688, while the sum is 60.

The spelling of 3782830781418 in words is "three trillion, seven hundred eighty-two billion, eight hundred thirty million, seven hundred eighty-one thousand, four hundred eighteen".