4038985600 has 192 divisors, whose sum is σ = 10889928000. Its totient is φ = 1471242240.

The previous prime is 4038985547. The next prime is 4038985649. The reversal of 4038985600 is 65898304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3285786 + ... + 3287014.

It is an arithmetic number, because the mean of its divisors is an integer number (56718375).

Almost surely, 2^4038985600 is an apocalyptic number.

4038985600 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 4038985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5444964000).

4038985600 is an abundant number, since it is smaller than the sum of its proper divisors (6850942400).

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

4038985600 is a wasteful number, since it uses less digits than its factorization.

4038985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 4038985600 is about 63553.0140906000. The cubic root of 4038985600 is about 1592.5415360967.

The spelling of 4038985600 in words is "four billion, thirty-eight million, nine hundred eighty-five thousand, six hundred".