1834918272 has 384 divisors, whose sum is σ = 6201861120. Its totient is φ = 534988800.

The previous prime is 1834918237. The next prime is 1834918297. The reversal of 1834918272 is 2728194381.

It is a happy number.

1834918272 is a `hidden beast` number, since 1 + 83 + 491 + 82 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10606378 + ... + 10606550.

It is an arithmetic number, because the mean of its divisors is an integer number (16150680).

Almost surely, 2^1834918272 is an apocalyptic number.

1834918272 is a gapful number since it is divisible by the number (12) 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 1834918272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100930560).

1834918272 is an abundant number, since it is smaller than the sum of its proper divisors (4366942848).

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

1834918272 is a wasteful number, since it uses less digits than its factorization.

1834918272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 220 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 1834918272 is about 42835.9460266725. The cubic root of 1834918272 is about 1224.2560018163.

The spelling of 1834918272 in words is "one billion, eight hundred thirty-four million, nine hundred eighteen thousand, two hundred seventy-two".