4138700384 has 288 divisors, whose sum is σ = 11011424256. Its totient is φ = 1489259520.

The previous prime is 4138700323. The next prime is 4138700509. The reversal of 4138700384 is 4830078314.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32588129 + ... + 32588255.

It is an arithmetic number, because the mean of its divisors is an integer number (38234112).

Almost surely, 2^4138700384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4138700384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505712128).

4138700384 is an abundant number, since it is smaller than the sum of its proper divisors (6872723872).

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

4138700384 is a wasteful number, since it uses less digits than its factorization.

4138700384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 4138700384 is about 64332.7318244764. The cubic root of 4138700384 is about 1605.5407363355.

Adding to 4138700384 its reverse (4830078314), we get a palindrome (8968778698).

The spelling of 4138700384 in words is "four billion, one hundred thirty-eight million, seven hundred thousand, three hundred eighty-four".