3828285135756 has 72 divisors (see below), whose sum is σ = 9814052312064. Its totient is φ = 1258138510560.

The previous prime is 3828285135751. The next prime is 3828285135757. The reversal of 3828285135756 is 6575315828283.

It is a happy number.

3828285135756 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 2 + 8 + 51 + 3 + 575 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3828285135693 and 3828285135702.

It is not an unprimeable number, because it can be changed into a prime (3828285135751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1432380 + ... + 3115811.

It is an arithmetic number, because the mean of its divisors is an integer number (136306282112).

Almost surely, 2^{3828285135756} is an apocalyptic number.

3828285135756 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3828285135756 is an abundant number, since it is smaller than the sum of its proper divisors (5985767176308).

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

3828285135756 is a wasteful number, since it uses less digits than its factorization.

3828285135756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4548531 (or 4548526 counting only the distinct ones).

The product of its digits is 96768000, while the sum is 63.

The spelling of 3828285135756 in words is "three trillion, eight hundred twenty-eight billion, two hundred eighty-five million, one hundred thirty-five thousand, seven hundred fifty-six".