1834389504 has 312 divisors, whose sum is σ = 5843787040. Its totient is φ = 573308928.

The previous prime is 1834389493. The next prime is 1834389517. The reversal of 1834389504 is 4059834381.

It is a self number, because there is not a number n which added to its sum of digits gives 1834389504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18911184 + ... + 18911280.

Almost surely, 2^1834389504 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 1834389504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921893520).

1834389504 is an abundant number, since it is smaller than the sum of its proper divisors (4009397536).

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

1834389504 is an frugal number, since it uses more digits than its factorization.

1834389504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1834389504 is about 42829.7735693291. The cubic root of 1834389504 is about 1224.1383926564.

The spelling of 1834389504 in words is "one billion, eight hundred thirty-four million, three hundred eighty-nine thousand, five hundred four".