6338031840 has 384 divisors, whose sum is σ = 26173808640. Its totient is φ = 1401753600.

The previous prime is 6338031811. The next prime is 6338031841. The reversal of 6338031840 is 481308336.

It is a happy number.

6338031840 is a `hidden beast` number, since 6 + 338 + 0 + 318 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 6338031795 and 6338031804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6338031841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 934060 + ... + 940820.

It is an arithmetic number, because the mean of its divisors is an integer number (68160960).

Almost surely, 2^6338031840 is an apocalyptic number.

6338031840 is a gapful number since it is divisible by the number (60) 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 6338031840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13086904320).

6338031840 is an abundant number, since it is smaller than the sum of its proper divisors (19835776800).

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

6338031840 is a wasteful number, since it uses less digits than its factorization.

6338031840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6823 (or 6809 counting only the distinct ones).

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

The square root of 6338031840 is about 79611.7569206961. The cubic root of 6338031840 is about 1850.6237818584.

The spelling of 6338031840 in words is "six billion, three hundred thirty-eight million, thirty-one thousand, eight hundred forty".