338435620 has 36 divisors (see below), whose sum is σ = 717614100. Its totient is φ = 134066688.

The previous prime is 338435611. The next prime is 338435651. The reversal of 338435620 is 26534833.

It can be written as a sum of positive squares in 6 ways, for example, as 86007076 + 252428544 = 9274^2 + 15888^2 .

It is a super-2 number, since 2×338435620² = 229077337769568800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1004092 + ... + 1004428.

It is an arithmetic number, because the mean of its divisors is an integer number (19933725).

Almost surely, 2^338435620 is an apocalyptic number.

It is an amenable number.

338435620 is an abundant number, since it is smaller than the sum of its proper divisors (379178480).

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

338435620 is a wasteful number, since it uses less digits than its factorization.

338435620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 338435620 is about 18396.6197982129. The cubic root of 338435620 is about 696.8811037827.

The spelling of 338435620 in words is "three hundred thirty-eight million, four hundred thirty-five thousand, six hundred twenty".