3828134056000 has 112 divisors (see below), whose sum is σ = 9635791185072. Its totient is φ = 1506150912000.

The previous prime is 3828134055983. The next prime is 3828134056007. The reversal of 3828134056000 is 6504318283.

It can be written as a sum of positive squares in 8 ways, for example, as 1566142119936 + 2261991936064 = 1251456^2 + 1503992^2 .

It is a super-2 number, since 2×3828134056000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3828134056007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3434269 + ... + 4410268.

Almost surely, 2^{3828134056000} is an apocalyptic number.

It is an amenable number.

3828134056000 is an abundant number, since it is smaller than the sum of its proper divisors (5807657129072).

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

3828134056000 is an equidigital number, since it uses as much as digits as its factorization.

3828134056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7844625 (or 7844605 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 3828134056000 in words is "three trillion, eight hundred twenty-eight billion, one hundred thirty-four million, fifty-six thousand".