738353280 has 256 divisors, whose sum is σ = 2716104960. Its totient is φ = 167116800.

The previous prime is 738353279. The next prime is 738353303. The reversal of 738353280 is 82353837.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1841080 + ... + 1841480.

It is an arithmetic number, because the mean of its divisors is an integer number (10609785).

Almost surely, 2^738353280 is an apocalyptic number.

738353280 is a gapful number since it is divisible by the number (70) 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 738353280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358052480).

738353280 is an abundant number, since it is smaller than the sum of its proper divisors (1977751680).

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

738353280 is a wasteful number, since it uses less digits than its factorization.

738353280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 738353280 is about 27172.6568447033. The cubic root of 738353280 is about 903.8327411337.

The spelling of 738353280 in words is "seven hundred thirty-eight million, three hundred fifty-three thousand, two hundred eighty".