2938801320 has 384 divisors, whose sum is σ = 11877465600. Its totient is φ = 613619712.

The previous prime is 2938801319. The next prime is 2938801367. The reversal of 2938801320 is 231088392.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3570429 + ... + 3571251.

It is an arithmetic number, because the mean of its divisors is an integer number (30930900).

Almost surely, 2^2938801320 is an apocalyptic number.

2938801320 is a gapful number since it is divisible by the number (20) 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 2938801320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5938732800).

2938801320 is an abundant number, since it is smaller than the sum of its proper divisors (8938664280).

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

2938801320 is a wasteful number, since it uses less digits than its factorization.

2938801320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 969 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2938801320 is about 54210.7122255371. The cubic root of 2938801320 is about 1432.3750318147.

The spelling of 2938801320 in words is "two billion, nine hundred thirty-eight million, eight hundred one thousand, three hundred twenty".