738257312 has 192 divisors, whose sum is σ = 1788272640. Its totient is φ = 296524800.

The previous prime is 738257297. The next prime is 738257393. The reversal of 738257312 is 213752837.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5635487 + ... + 5635617.

It is an arithmetic number, because the mean of its divisors is an integer number (9313920).

Almost surely, 2^738257312 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 738257312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894136320).

738257312 is an abundant number, since it is smaller than the sum of its proper divisors (1050015328).

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

738257312 is a wasteful number, since it uses less digits than its factorization.

738257312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 219 counting only the distinct ones).

The product of its digits is 70560, while the sum is 38.

The square root of 738257312 is about 27170.8908944849. The cubic root of 738257312 is about 903.7935806663.

The spelling of 738257312 in words is "seven hundred thirty-eight million, two hundred fifty-seven thousand, three hundred twelve".