1834272000 has 576 divisors, whose sum is σ = 7423153920. Its totient is φ = 442368000.

The previous prime is 1834271993. The next prime is 1834272017. The reversal of 1834272000 is 2724381.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9503904 + ... + 9504096.

It is an arithmetic number, because the mean of its divisors is an integer number (12887420).

Almost surely, 2^1834272000 is an apocalyptic number.

1834272000 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 1834272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3711576960).

1834272000 is an abundant number, since it is smaller than the sum of its proper divisors (5588881920).

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

1834272000 is a wasteful number, since it uses less digits than its factorization.

1834272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1834272000 is about 42828.4017913347. The cubic root of 1834272000 is about 1224.1122542184.

Adding to 1834272000 its reverse (2724381), we get a palindrome (1836996381).

The spelling of 1834272000 in words is "one billion, eight hundred thirty-four million, two hundred seventy-two thousand".