4038330816 has 280 divisors, whose sum is σ = 13314460544. Its totient is φ = 1201858560.

The previous prime is 4038330811. The next prime is 4038330913. The reversal of 4038330816 is 6180338304.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4038330811) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2088186 + ... + 2090118.

Almost surely, 2^4038330816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4038330816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6657230272).

4038330816 is an abundant number, since it is smaller than the sum of its proper divisors (9276129728).

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

4038330816 is a wasteful number, since it uses less digits than its factorization.

4038330816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2001 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 4038330816 is about 63547.8624030738. The cubic root of 4038330816 is about 1592.4554726494.

The spelling of 4038330816 in words is "four billion, thirty-eight million, three hundred thirty thousand, eight hundred sixteen".