3828034583568 has 60 divisors (see below), whose sum is σ = 11537270903340. Its totient is φ = 1177856794368.

The previous prime is 3828034583567. The next prime is 3828034583599. The reversal of 3828034583568 is 8653854308283.

3828034583568 is a `hidden beast` number, since 3 + 8 + 28 + 0 + 3 + 45 + 8 + 3 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1830414173184 + 1997620410384 = 1352928^2 + 1413372^2 .

It is a super-2 number, since 2×3828034583568² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3828034583567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1022443263 + ... + 1022447006.

It is an arithmetic number, because the mean of its divisors is an integer number (192287848389).

Almost surely, 2^{3828034583568} is an apocalyptic number.

It is an amenable number.

3828034583568 is an abundant number, since it is smaller than the sum of its proper divisors (7709236319772).

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

3828034583568 is a wasteful number, since it uses less digits than its factorization.

3828034583568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2044890296 (or 2044890287 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 3828034583568 in words is "three trillion, eight hundred twenty-eight billion, thirty-four million, five hundred eighty-three thousand, five hundred sixty-eight".