1838575872 has 216 divisors, whose sum is σ = 6268866240. Its totient is φ = 507064320.

The previous prime is 1838575867. The next prime is 1838575903. The reversal of 1838575872 is 2785758381.

1838575872 is a `hidden beast` number, since 1 + 8 + 3 + 8 + 57 + 587 + 2 = 666.

It is a super-2 number, since 2×1838575872² = 6760722474201120768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465747 + ... + 469677.

Almost surely, 2^1838575872 is an apocalyptic number.

1838575872 is a gapful number since it is divisible by the number (12) 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 1838575872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134433120).

1838575872 is an abundant number, since it is smaller than the sum of its proper divisors (4430290368).

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

1838575872 is a wasteful number, since it uses less digits than its factorization.

1838575872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3989 (or 3972 counting only the distinct ones).

The product of its digits is 3763200, while the sum is 54.

The square root of 1838575872 is about 42878.6178881736. The cubic root of 1838575872 is about 1225.0689111866.

The spelling of 1838575872 in words is "one billion, eight hundred thirty-eight million, five hundred seventy-five thousand, eight hundred seventy-two".