738673312 has 72 divisors (see below), whose sum is σ = 1587819996. Its totient is φ = 338098176.

The previous prime is 738673303. The next prime is 738673337. The reversal of 738673312 is 213376837.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 263607696 + 475065616 = 16236^2 + 21796^2 .

It is a super-2 number, since 2×738673312² = 1091276523722098688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 740398 + ... + 741394.

Almost surely, 2^738673312 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 738673312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793909998).

738673312 is an abundant number, since it is smaller than the sum of its proper divisors (849146684).

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

738673312 is a wasteful number, since it uses less digits than its factorization.

738673312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1149 counting only the distinct ones).

The product of its digits is 127008, while the sum is 40.

The square root of 738673312 is about 27178.5450677552. The cubic root of 738673312 is about 903.9633080886.

The spelling of 738673312 in words is "seven hundred thirty-eight million, six hundred seventy-three thousand, three hundred twelve".