1834979328 has 312 divisors, whose sum is σ = 6535500608. Its totient is φ = 483065856.

The previous prime is 1834979287. The next prime is 1834979347. The reversal of 1834979328 is 8239794381.

It is a tau number, because it is divible by the number of its divisors (312).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3354351 + ... + 3354897.

Almost surely, 2^1834979328 is an apocalyptic number.

1834979328 is a gapful number since it is divisible by the number (18) 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 1834979328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267750304).

1834979328 is an abundant number, since it is smaller than the sum of its proper divisors (4700521280).

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

1834979328 is a wasteful number, since it uses less digits than its factorization.

1834979328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 572 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 1834979328 is about 42836.6586932268. The cubic root of 1834979328 is about 1224.2695805038.

The spelling of 1834979328 in words is "one billion, eight hundred thirty-four million, nine hundred seventy-nine thousand, three hundred twenty-eight".