4338257000 has 256 divisors, whose sum is σ = 12802682880. Its totient is φ = 1336608000.

The previous prime is 4338256999. The next prime is 4338257009. The reversal of 4338257000 is 7528334.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4338257009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7930727 + ... + 7931273.

It is an arithmetic number, because the mean of its divisors is an integer number (50010480).

Almost surely, 2^4338257000 is an apocalyptic number.

4338257000 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 4338257000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401341440).

4338257000 is an abundant number, since it is smaller than the sum of its proper divisors (8464425880).

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

4338257000 is a wasteful number, since it uses less digits than its factorization.

4338257000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 4338257000 is about 65865.4461762767. The cubic root of 4338257000 is about 1630.9416567073.

The spelling of 4338257000 in words is "four billion, three hundred thirty-eight million, two hundred fifty-seven thousand".