1834168320 has 416 divisors, whose sum is σ = 6793943040. Its totient is φ = 468910080.

The previous prime is 1834168319. The next prime is 1834168381. The reversal of 1834168320 is 238614381.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 17141707 + ... + 17141813.

Almost surely, 2^1834168320 is an apocalyptic number.

1834168320 is a gapful number since it is divisible by the number (10) 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 1834168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3396971520).

1834168320 is an abundant number, since it is smaller than the sum of its proper divisors (4959774720).

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

1834168320 is a wasteful number, since it uses less digits than its factorization.

1834168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1834168320 is about 42827.1913624977. The cubic root of 1834168320 is about 1224.0891899637.

The spelling of 1834168320 in words is "one billion, eight hundred thirty-four million, one hundred sixty-eight thousand, three hundred twenty".