338435370 has 288 divisors, whose sum is σ = 1145079936. Its totient is φ = 67495680.

The previous prime is 338435359. The next prime is 338435389. The reversal of 338435370 is 73534833.

It is a happy number.

338435370 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×338435370² = 229076999334073800, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7870569 + ... + 7870611.

It is an arithmetic number, because the mean of its divisors is an integer number (3975972).

Almost surely, 2^338435370 is an apocalyptic number.

338435370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 338435370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572539968).

338435370 is an abundant number, since it is smaller than the sum of its proper divisors (806644566).

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

338435370 is a wasteful number, since it uses less digits than its factorization.

338435370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 338435370 is about 18396.6130034852. The cubic root of 338435370 is about 696.8809321889.

The spelling of 338435370 in words is "three hundred thirty-eight million, four hundred thirty-five thousand, three hundred seventy".