338760090 has 32 divisors (see below), whose sum is σ = 903360960. Its totient is φ = 90335952.

The previous prime is 338760061. The next prime is 338760091. The reversal of 338760090 is 90067833.

It is a super-2 number, since 2×338760090² = 229516797153616200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338760091) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 627064 + ... + 627603.

It is an arithmetic number, because the mean of its divisors is an integer number (28230030).

Almost surely, 2^338760090 is an apocalyptic number.

338760090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

338760090 is an abundant number, since it is smaller than the sum of its proper divisors (564600870).

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

338760090 is a wasteful number, since it uses less digits than its factorization.

338760090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254683 (or 1254677 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 338760090 is about 18405.4364251435. The cubic root of 338760090 is about 697.1037406987.

The spelling of 338760090 in words is "three hundred thirty-eight million, seven hundred sixty thousand, ninety".