4971834000 has 480 divisors, whose sum is σ = 20729030400. Its totient is φ = 1135814400.

The previous prime is 4971833981. The next prime is 4971834013. The reversal of 4971834000 is 4381794.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 2645061 + ... + 2646939.

It is an arithmetic number, because the mean of its divisors is an integer number (43185480).

Almost surely, 2^4971834000 is an apocalyptic number.

4971834000 is a gapful number since it is divisible by the number (40) 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 4971834000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10364515200).

4971834000 is an abundant number, since it is smaller than the sum of its proper divisors (15757196400).

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

4971834000 is a wasteful number, since it uses less digits than its factorization.

4971834000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4971834000 is about 70511.2331476340. The cubic root of 4971834000 is about 1706.7590197284.

The spelling of 4971834000 in words is "four billion, nine hundred seventy-one million, eight hundred thirty-four thousand".