738120320 has 96 divisors (see below), whose sum is σ = 2052748980. Its totient is φ = 253059072.

The previous prime is 738120269. The next prime is 738120329. The reversal of 738120320 is 23021837.

It can be written as a sum of positive squares in 2 ways, for example, as 719526976 + 18593344 = 26824^2 + 4312^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 738120320.

It is not an unprimeable number, because it can be changed into a prime (738120329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19592 + ... + 43128.

Almost surely, 2^738120320 is an apocalyptic number.

738120320 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 738120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026374490).

738120320 is an abundant number, since it is smaller than the sum of its proper divisors (1314628660).

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

738120320 is a wasteful number, since it uses less digits than its factorization.

738120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23570 (or 23551 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 738120320 is about 27168.3698443613. The cubic root of 738120320 is about 903.7376741654.

The spelling of 738120320 in words is "seven hundred thirty-eight million, one hundred twenty thousand, three hundred twenty".