3786052596480 has 1944 divisors, whose sum is σ = 17378027096976. Its totient is φ = 786329026560.

The previous prime is 3786052596463. The next prime is 3786052596523. The reversal of 3786052596480 is 846952506873.

It is a happy number.

3786052596480 is a `hidden beast` number, since 3 + 7 + 8 + 60 + 5 + 2 + 5 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1844155134 + ... + 1844157186.

Almost surely, 2^{3786052596480} is an apocalyptic number.

3786052596480 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 3786052596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8689013548488).

3786052596480 is an abundant number, since it is smaller than the sum of its proper divisors (13591974500496).

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

3786052596480 is a wasteful number, since it uses less digits than its factorization.

3786052596480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 3786052596480 in words is "three trillion, seven hundred eighty-six billion, fifty-two million, five hundred ninety-six thousand, four hundred eighty".