3782167201680 has 320 divisors, whose sum is σ = 13499547402240. Its totient is φ = 858068932608.

The previous prime is 3782167201667. The next prime is 3782167201699. The reversal of 3782167201680 is 861027612873.

3782167201680 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, 179895649 + ... + 179916671.

It is an arithmetic number, because the mean of its divisors is an integer number (42186085632).

Almost surely, 2^{3782167201680} is an apocalyptic number.

3782167201680 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 3782167201680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749773701120).

3782167201680 is an abundant number, since it is smaller than the sum of its proper divisors (9717380200560).

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

3782167201680 is a wasteful number, since it uses less digits than its factorization.

3782167201680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21838 (or 21832 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 3782167201680 in words is "three trillion, seven hundred eighty-two billion, one hundred sixty-seven million, two hundred one thousand, six hundred eighty".