4838023680 has 320 divisors, whose sum is σ = 18252546048. Its totient is φ = 1069793280.

The previous prime is 4838023669. The next prime is 4838023733. The reversal of 4838023680 is 863208384.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1665109 + ... + 1668011.

Almost surely, 2^4838023680 is an apocalyptic number.

4838023680 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 4838023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9126273024).

4838023680 is an abundant number, since it is smaller than the sum of its proper divisors (13414522368).

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

4838023680 is a wasteful number, since it uses less digits than its factorization.

4838023680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967 (or 2951 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 4838023680 is about 69555.9032721163. The cubic root of 4838023680 is about 1691.3078446999.

The spelling of 4838023680 in words is "four billion, eight hundred thirty-eight million, twenty-three thousand, six hundred eighty".