4838537200 has 120 divisors (see below), whose sum is σ = 13568274432. Its totient is φ = 1623586560.

The previous prime is 4838537159. The next prime is 4838537227. The reversal of 4838537200 is 27358384.

It is a super-2 number, since 2×4838537200² = 46822884471567680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113217 + ... + 149983.

Almost surely, 2^4838537200 is an apocalyptic number.

4838537200 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 4838537200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6784137216).

4838537200 is an abundant number, since it is smaller than the sum of its proper divisors (8729737232).

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

4838537200 is a wasteful number, since it uses less digits than its factorization.

4838537200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36839 (or 36828 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 4838537200 is about 69559.5945934132. The cubic root of 4838537200 is about 1691.3676824721.

The spelling of 4838537200 in words is "four billion, eight hundred thirty-eight million, five hundred thirty-seven thousand, two hundred".