338877720 has 96 divisors (see below), whose sum is σ = 1109553120. Its totient is φ = 89694720.

The previous prime is 338877719. The next prime is 338877727. The reversal of 338877720 is 27778833.

It is a super-2 number, since 2×338877720² = 229676218224796800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338877727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45885 + ... + 52755.

It is an arithmetic number, because the mean of its divisors is an integer number (11557845).

Almost surely, 2^338877720 is an apocalyptic number.

338877720 is a gapful number since it is divisible by the number (30) 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 338877720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554776560).

338877720 is an abundant number, since it is smaller than the sum of its proper divisors (770675400).

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

338877720 is a wasteful number, since it uses less digits than its factorization.

338877720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7025 (or 7018 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 338877720 is about 18408.6316710395. The cubic root of 338877720 is about 697.1844180729.

The spelling of 338877720 in words is "three hundred thirty-eight million, eight hundred seventy-seven thousand, seven hundred twenty".