4038048000 has 432 divisors, whose sum is σ = 16614089856. Its totient is φ = 922521600.

The previous prime is 4038047977. The next prime is 4038048013. The reversal of 4038048000 is 8408304.

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, 2014999 + ... + 2017001.

Almost surely, 2^4038048000 is an apocalyptic number.

4038048000 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 4038048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8307044928).

4038048000 is an abundant number, since it is smaller than the sum of its proper divisors (12576041856).

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

4038048000 is a wasteful number, since it uses less digits than its factorization.

4038048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4038048000 is about 63545.6371437096. The cubic root of 4038048000 is about 1592.4182970257.

The spelling of 4038048000 in words is "four billion, thirty-eight million, forty-eight thousand".