338350720 has 32 divisors (see below), whose sum is σ = 808871220. Its totient is φ = 135340032.

The previous prime is 338350669. The next prime is 338350763. The reversal of 338350720 is 27053833.

It can be written as a sum of positive squares in 2 ways, for example, as 307791936 + 30558784 = 17544^2 + 5528^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×338350720² = 228962419449036800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 263697 + ... + 264976.

Almost surely, 2^338350720 is an apocalyptic number.

It is an amenable number.

338350720 is an abundant number, since it is smaller than the sum of its proper divisors (470520500).

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

338350720 is an equidigital number, since it uses as much as digits as its factorization.

338350720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528692 (or 528680 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 338350720 is about 18394.3121643621. The cubic root of 338350720 is about 696.8228256836.

The spelling of 338350720 in words is "three hundred thirty-eight million, three hundred fifty thousand, seven hundred twenty".