738318240 has 240 divisors, whose sum is σ = 2843074080. Its totient is φ = 178951680.

The previous prime is 738318199. The next prime is 738318241. The reversal of 738318240 is 42813837.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×738318240² = 1090227647033395200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 738318195 and 738318204.

It is not an unprimeable number, because it can be changed into a prime (738318241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 139971 + ... + 145149.

It is an arithmetic number, because the mean of its divisors is an integer number (11846142).

Almost surely, 2^738318240 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 738318240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421537040).

738318240 is an abundant number, since it is smaller than the sum of its proper divisors (2104755840).

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

738318240 is a wasteful number, since it uses less digits than its factorization.

738318240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5217 (or 5200 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 738318240 is about 27172.0120712471. The cubic root of 738318240 is about 903.8184431903.

The spelling of 738318240 in words is "seven hundred thirty-eight million, three hundred eighteen thousand, two hundred forty".