1834011200 has 252 divisors, whose sum is σ = 5318493300. Its totient is φ = 620605440.

The previous prime is 1834011173. The next prime is 1834011209. The reversal of 1834011200 is 21104381.

It can be written as a sum of positive squares in 6 ways, for example, as 371101696 + 1462909504 = 19264^2 + 38248^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1834011209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11681522 + ... + 11681678.

Almost surely, 2^1834011200 is an apocalyptic number.

1834011200 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 1834011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659246650).

1834011200 is an abundant number, since it is smaller than the sum of its proper divisors (3484482100).

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

1834011200 is a wasteful number, since it uses less digits than its factorization.

1834011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1834011200 is about 42825.3569745776. The cubic root of 1834011200 is about 1224.0542359951.

Adding to 1834011200 its reverse (21104381), we get a palindrome (1855115581).

The spelling of 1834011200 in words is "one billion, eight hundred thirty-four million, eleven thousand, two hundred".