4938634800 has 720 divisors, whose sum is σ = 20148710400. Its totient is φ = 1150848000.

The previous prime is 4938634783. The next prime is 4938634801. The reversal of 4938634800 is 84368394.

4938634800 is a `hidden beast` number, since 4 + 9 + 3 + 8 + 634 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×4938634800² = 48780227375542080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4938634801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33145126 + ... + 33145274.

It is an arithmetic number, because the mean of its divisors is an integer number (27984320).

Almost surely, 2^4938634800 is an apocalyptic number.

4938634800 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 4938634800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10074355200).

4938634800 is an abundant number, since it is smaller than the sum of its proper divisors (15210075600).

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

4938634800 is a wasteful number, since it uses less digits than its factorization.

4938634800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4938634800 is about 70275.4210232852. The cubic root of 4938634800 is about 1702.9515967103.

The spelling of 4938634800 in words is "four billion, nine hundred thirty-eight million, six hundred thirty-four thousand, eight hundred".