4738029800 has 96 divisors (see below), whose sum is σ = 12603360000. Its totient is φ = 1622695680.

The previous prime is 4738029799. The next prime is 4738029809. The reversal of 4738029800 is 89208374.

It is not an unprimeable number, because it can be changed into a prime (4738029809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2369201 + ... + 2371199.

It is an arithmetic number, because the mean of its divisors is an integer number (131285000).

Almost surely, 2^4738029800 is an apocalyptic number.

4738029800 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 4738029800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6301680000).

4738029800 is an abundant number, since it is smaller than the sum of its proper divisors (7865330200).

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

4738029800 is a wasteful number, since it uses less digits than its factorization.

4738029800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3715 (or 3706 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 4738029800 is about 68833.3480225973. The cubic root of 4738029800 is about 1679.5744623278.

The spelling of 4738029800 in words is "four billion, seven hundred thirty-eight million, twenty-nine thousand, eight hundred".