738379824 has 480 divisors, whose sum is σ = 2659829760. Its totient is φ = 174182400.

The previous prime is 738379813. The next prime is 738379913. The reversal of 738379824 is 428973837.

It is a congruent number.

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, 18009244 + ... + 18009284.

It is an arithmetic number, because the mean of its divisors is an integer number (5541312).

Almost surely, 2^738379824 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 738379824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329914880).

738379824 is an abundant number, since it is smaller than the sum of its proper divisors (1921449936).

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

738379824 is a wasteful number, since it uses less digits than its factorization.

738379824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 116 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 51.

The square root of 738379824 is about 27173.1452724928. The cubic root of 738379824 is about 903.8435720144.

The spelling of 738379824 in words is "seven hundred thirty-eight million, three hundred seventy-nine thousand, eight hundred twenty-four".