4038083000 has 128 divisors (see below), whose sum is σ = 10829445120. Its totient is φ = 1380585600.

The previous prime is 4038082999. The next prime is 4038083003. The reversal of 4038083000 is 3808304.

It is a super-2 number, since 2×4038083000² = 32612228629778000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4038083003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3660449 + ... + 3661551.

It is an arithmetic number, because the mean of its divisors is an integer number (84605040).

Almost surely, 2^4038083000 is an apocalyptic number.

4038083000 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 4038083000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5414722560).

4038083000 is an abundant number, since it is smaller than the sum of its proper divisors (6791362120).

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

4038083000 is a wasteful number, since it uses less digits than its factorization.

4038083000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 4038083000 is about 63545.9125357406. The cubic root of 4038083000 is about 1592.4228978030.

The spelling of 4038083000 in words is "four billion, thirty-eight million, eighty-three thousand".