4338313920 has 84 divisors (see below), whose sum is σ = 14922002160. Its totient is φ = 1156882944.

The previous prime is 4338313901. The next prime is 4338313921. The reversal of 4338313920 is 293138334.

4338313920 is a `hidden beast` number, since 4 + 338 + 313 + 9 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4338313921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 750300 + ... + 756059.

Almost surely, 2^4338313920 is an apocalyptic number.

4338313920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4338313920 is an abundant number, since it is smaller than the sum of its proper divisors (10583688240).

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

4338313920 is a wasteful number, since it uses less digits than its factorization.

4338313920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506382 (or 1506369 counting only the distinct ones).

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

The square root of 4338313920 is about 65865.8782678862. The cubic root of 4338313920 is about 1630.9487895868.

The spelling of 4338313920 in words is "four billion, three hundred thirty-eight million, three hundred thirteen thousand, nine hundred twenty".