4340329920 has 168 divisors, whose sum is σ = 15482127024. Its totient is φ = 1157400576.

The previous prime is 4340329907. The next prime is 4340329927. The reversal of 4340329920 is 299230434.

4340329920 is a `hidden beast` number, since 4 + 340 + 3 + 299 + 20 = 666.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4340329927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49852 + ... + 105668.

It is an arithmetic number, because the mean of its divisors is an integer number (92155518).

Almost surely, 2^4340329920 is an apocalyptic number.

4340329920 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 4340329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7741063512).

4340329920 is an abundant number, since it is smaller than the sum of its proper divisors (11141797104).

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

4340329920 is an equidigital number, since it uses as much as digits as its factorization.

4340329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55849 (or 55827 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 4340329920 is about 65881.1803172955. The cubic root of 4340329920 is about 1631.2013826176.

The spelling of 4340329920 in words is "four billion, three hundred forty million, three hundred twenty-nine thousand, nine hundred twenty".