4038981600 has 288 divisors, whose sum is σ = 13561569504. Its totient is φ = 1043660800.

The previous prime is 4038981589. The next prime is 4038981619. The reversal of 4038981600 is 61898304.

It is a congruent number.

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, 14373460 + ... + 14373740.

It is an arithmetic number, because the mean of its divisors is an integer number (47088783).

Almost surely, 2^4038981600 is an apocalyptic number.

4038981600 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 4038981600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6780784752).

4038981600 is an abundant number, since it is smaller than the sum of its proper divisors (9522587904).

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

4038981600 is a wasteful number, since it uses less digits than its factorization.

4038981600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 4038981600 is about 63552.9826208023. The cubic root of 4038981600 is about 1592.5410103732.

The spelling of 4038981600 in words is "four billion, thirty-eight million, nine hundred eighty-one thousand, six hundred".