338900814 has 128 divisors (see below), whose sum is σ = 951367680. Its totient is φ = 87132672.

The previous prime is 338900813. The next prime is 338900819. The reversal of 338900814 is 418009833.

It is a super-2 number, since 2×338900814² = 229707523459725192, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338900813) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146652 + ... + 148944.

It is an arithmetic number, because the mean of its divisors is an integer number (7432560).

Almost surely, 2^338900814 is an apocalyptic number.

338900814 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 338900814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475683840).

338900814 is an abundant number, since it is smaller than the sum of its proper divisors (612466866).

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

338900814 is a wasteful number, since it uses less digits than its factorization.

338900814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 338900814 is about 18409.2589204454. The cubic root of 338900814 is about 697.2002550649.

The spelling of 338900814 in words is "three hundred thirty-eight million, nine hundred thousand, eight hundred fourteen".