1838121984 has 264 divisors, whose sum is σ = 5633016480. Its totient is φ = 598523904.

The previous prime is 1838121983. The next prime is 1838122007. The reversal of 1838121984 is 4891218381.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1838121983) 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, 20653012 + ... + 20653100.

Almost surely, 2^1838121984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1838121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2816508240).

1838121984 is an abundant number, since it is smaller than the sum of its proper divisors (3794894496).

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

1838121984 is an frugal number, since it uses more digits than its factorization.

1838121984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 177 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 1838121984 is about 42873.3248535730. The cubic root of 1838121984 is about 1224.9680922412.

The spelling of 1838121984 in words is "one billion, eight hundred thirty-eight million, one hundred twenty-one thousand, nine hundred eighty-four".