4038729984 has 504 divisors, whose sum is σ = 13672643040. Its totient is φ = 1182449664.

The previous prime is 4038729977. The next prime is 4038730027. The reversal of 4038729984 is 4899278304.

4038729984 is a `hidden beast` number, since 403 + 8 + 72 + 99 + 84 = 666.

It is a super-2 number, since 2×4038729984² = 32622679767321280512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4038729984.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 60279519 + ... + 60279585.

It is an arithmetic number, because the mean of its divisors is an integer number (27128260).

Almost surely, 2^4038729984 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 4038729984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6836321520).

4038729984 is an abundant number, since it is smaller than the sum of its proper divisors (9633913056).

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

4038729984 is an equidigital number, since it uses as much as digits as its factorization.

4038729984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 4038729984 is about 63551.0030133278. The cubic root of 4038729984 is about 1592.5079395681.

The spelling of 4038729984 in words is "four billion, thirty-eight million, seven hundred twenty-nine thousand, nine hundred eighty-four".