4313437920 has 480 divisors, whose sum is σ = 16860856320. Its totient is φ = 1029749760.

The previous prime is 4313437901. The next prime is 4313437993. The reversal of 4313437920 is 297343134.

It is a tau number, because it is divible by the number of its divisors (480).

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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11262049 + ... + 11262431.

It is an arithmetic number, because the mean of its divisors is an integer number (35126784).

Almost surely, 2^4313437920 is an apocalyptic number.

4313437920 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 4313437920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8430428160).

4313437920 is an abundant number, since it is smaller than the sum of its proper divisors (12547418400).

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

4313437920 is a wasteful number, since it uses less digits than its factorization.

4313437920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 4313437920 is about 65676.7684954124. The cubic root of 4313437920 is about 1627.8255119895.

The spelling of 4313437920 in words is "four billion, three hundred thirteen million, four hundred thirty-seven thousand, nine hundred twenty".