1834106976 has 360 divisors, whose sum is σ = 6026438880. Its totient is φ = 546683904.

The previous prime is 1834106959. The next prime is 1834106987. The reversal of 1834106976 is 6796014381.

It is a happy number.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 23216505 + ... + 23216583.

It is an arithmetic number, because the mean of its divisors is an integer number (16740108).

Almost surely, 2^1834106976 is an apocalyptic number.

1834106976 is a gapful number since it is divisible by the number (16) 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 1834106976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3013219440).

1834106976 is an abundant number, since it is smaller than the sum of its proper divisors (4192331904).

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

1834106976 is a wasteful number, since it uses less digits than its factorization.

1834106976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1834106976 is about 42826.4751759936. The cubic root of 1834106976 is about 1224.0755432037.

The spelling of 1834106976 in words is "one billion, eight hundred thirty-four million, one hundred six thousand, nine hundred seventy-six".