4838390400 has 384 divisors, whose sum is σ = 17621193600. Its totient is φ = 1160642560.

The previous prime is 4838390387. The next prime is 4838390411. The reversal of 4838390400 is 40938384.

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

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 47 ways as a sum of consecutive naturals, for example, 3752956 + ... + 3754244.

It is an arithmetic number, because the mean of its divisors is an integer number (45888525).

Almost surely, 2^4838390400 is an apocalyptic number.

4838390400 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 4838390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8810596800).

4838390400 is an abundant number, since it is smaller than the sum of its proper divisors (12782803200).

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

4838390400 is a wasteful number, since it uses less digits than its factorization.

4838390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 4838390400 is about 69558.5393751191. The cubic root of 4838390400 is about 1691.3505770760.

The spelling of 4838390400 in words is "four billion, eight hundred thirty-eight million, three hundred ninety thousand, four hundred".