1834734720 has 256 divisors, whose sum is σ = 7198490880. Its totient is φ = 387072000.

The previous prime is 1834734709. The next prime is 1834734743. The reversal of 1834734720 is 274374381.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169470 + ... + 179970.

It is an arithmetic number, because the mean of its divisors is an integer number (28119105).

Almost surely, 2^1834734720 is an apocalyptic number.

1834734720 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 1834734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599245440).

1834734720 is an abundant number, since it is smaller than the sum of its proper divisors (5363756160).

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

1834734720 is a wasteful number, since it uses less digits than its factorization.

1834734720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10543 (or 10531 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 1834734720 is about 42833.8034734251. The cubic root of 1834734720 is about 1224.2151785393.

The spelling of 1834734720 in words is "one billion, eight hundred thirty-four million, seven hundred thirty-four thousand, seven hundred twenty".