738573984 has 96 divisors (see below), whose sum is σ = 2159801280. Its totient is φ = 245548800.

The previous prime is 738573971. The next prime is 738574007. The reversal of 738573984 is 489375837.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 738573984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423354 + ... + 425094.

It is an arithmetic number, because the mean of its divisors is an integer number (22497930).

Almost surely, 2^738573984 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 738573984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079900640).

738573984 is an abundant number, since it is smaller than the sum of its proper divisors (1421227296).

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

738573984 is a wasteful number, since it uses less digits than its factorization.

738573984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251 (or 2237 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 738573984 is about 27176.7176826047. The cubic root of 738573984 is about 903.9227881949.

It can be divided in two parts, 73857 and 3984, that added together give a square (77841 = 279²).

The spelling of 738573984 in words is "seven hundred thirty-eight million, five hundred seventy-three thousand, nine hundred eighty-four".