2938211328 has 352 divisors, whose sum is σ = 9078854400. Its totient is φ = 838139904.

The previous prime is 2938211327. The next prime is 2938211363. The reversal of 2938211328 is 8231128392.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (2938211321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49800163 + ... + 49800221.

It is an arithmetic number, because the mean of its divisors is an integer number (25792200).

Almost surely, 2^2938211328 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 2938211328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4539427200).

2938211328 is an abundant number, since it is smaller than the sum of its proper divisors (6140643072).

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

2938211328 is a wasteful number, since it uses less digits than its factorization.

2938211328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 149 counting only the distinct ones).

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

The square root of 2938211328 is about 54205.2702972691. The cubic root of 2938211328 is about 1432.2791711471.

The spelling of 2938211328 in words is "two billion, nine hundred thirty-eight million, two hundred eleven thousand, three hundred twenty-eight".