338774436 has 432 divisors, whose sum is σ = 1254839040. Its totient is φ = 75479040.

The previous prime is 338774353. The next prime is 338774461. The reversal of 338774436 is 634477833.

It is a super-2 number, since 2×338774436² = 229536236974236192, which contains 22 as substring.

Its product of digits (1016064) is a multiple of the sum of its prime factors (144).

It is a junction number, because it is equal to n+sod(n) for n = 338774391 and 338774400.

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 143 ways as a sum of consecutive naturals, for example, 4288245 + ... + 4288323.

It is an arithmetic number, because the mean of its divisors is an integer number (2904720).

Almost surely, 2^338774436 is an apocalyptic number.

338774436 is a gapful number since it is divisible by the number (36) 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 338774436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627419520).

338774436 is an abundant number, since it is smaller than the sum of its proper divisors (916064604).

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

338774436 is a wasteful number, since it uses less digits than its factorization.

338774436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 45.

The square root of 338774436 is about 18405.8261428277. The cubic root of 338774436 is about 697.1135810049.

The spelling of 338774436 in words is "three hundred thirty-eight million, seven hundred seventy-four thousand, four hundred thirty-six".