4938393600 has 432 divisors, whose sum is σ = 20225892960. Its totient is φ = 1128038400.

The previous prime is 4938393587. The next prime is 4938393601. The reversal of 4938393600 is 63938394.

4938393600 is a `hidden beast` number, since 4 + 9 + 3 + 8 + 39 + 3 + 600 = 666.

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 (4938393601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3224835 + ... + 3226365.

Almost surely, 2^4938393600 is an apocalyptic number.

4938393600 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 4938393600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10112946480).

4938393600 is an abundant number, since it is smaller than the sum of its proper divisors (15287499360).

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

4938393600 is a wasteful number, since it uses less digits than its factorization.

4938393600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 4938393600 is about 70273.7048973512. The cubic root of 4938393600 is about 1702.9238725430.

The spelling of 4938393600 in words is "four billion, nine hundred thirty-eight million, three hundred ninety-three thousand, six hundred".