3782182090752 has 768 divisors, whose sum is σ = 12856321296000. Its totient is φ = 1088352681984.

The previous prime is 3782182090751. The next prime is 3782182090847. The reversal of 3782182090752 is 2570902812873.

3782182090752 is a `hidden beast` number, since 378 + 2 + 18 + 209 + 0 + 7 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3782182090751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2114131074 + ... + 2114132862.

Almost surely, 2^{3782182090752} is an apocalyptic number.

3782182090752 is a gapful number since it is divisible by the number (32) 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 3782182090752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428160648000).

3782182090752 is an abundant number, since it is smaller than the sum of its proper divisors (9074139205248).

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

3782182090752 is a wasteful number, since it uses less digits than its factorization.

3782182090752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 3782182090752 in words is "three trillion, seven hundred eighty-two billion, one hundred eighty-two million, ninety thousand, seven hundred fifty-two".