1834729680 has 320 divisors, whose sum is σ = 6899558400. Its totient is φ = 393984000.

The previous prime is 1834729669. The next prime is 1834729703. The reversal of 1834729680 is 869274381.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 7309555 + ... + 7309805.

It is an arithmetic number, because the mean of its divisors is an integer number (21561120).

Almost surely, 2^1834729680 is an apocalyptic number.

1834729680 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 1834729680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449779200).

1834729680 is an abundant number, since it is smaller than the sum of its proper divisors (5064828720).

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

1834729680 is a wasteful number, since it uses less digits than its factorization.

1834729680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 1834729680 is about 42833.7446413456. The cubic root of 1834729680 is about 1224.2140575688.

The spelling of 1834729680 in words is "one billion, eight hundred thirty-four million, seven hundred twenty-nine thousand, six hundred eighty".