4834293120 has 384 divisors, whose sum is σ = 17745062400. Its totient is φ = 1209323520.

The previous prime is 4834293097. The next prime is 4834293151. The reversal of 4834293120 is 213924384.

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

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

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 47 ways as a sum of consecutive naturals, for example, 17838585 + ... + 17838855.

It is an arithmetic number, because the mean of its divisors is an integer number (46211100).

Almost surely, 2^4834293120 is an apocalyptic number.

4834293120 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 4834293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8872531200).

4834293120 is an abundant number, since it is smaller than the sum of its proper divisors (12910769280).

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

4834293120 is a wasteful number, since it uses less digits than its factorization.

4834293120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4834293120 is about 69529.0811099931. The cubic root of 4834293120 is about 1690.8730150913.

The spelling of 4834293120 in words is "four billion, eight hundred thirty-four million, two hundred ninety-three thousand, one hundred twenty".