339638220 has 72 divisors (see below), whose sum is σ = 1047730320. Its totient is φ = 89032320.

The previous prime is 339638213. The next prime is 339638239. The reversal of 339638220 is 22836933.

It is a super-3 number, since 3×339638220³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5371 + ... + 26610.

It is an arithmetic number, because the mean of its divisors is an integer number (14551810).

Almost surely, 2^339638220 is an apocalyptic number.

339638220 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 339638220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (523865160).

339638220 is an abundant number, since it is smaller than the sum of its proper divisors (708092100).

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

339638220 is a wasteful number, since it uses less digits than its factorization.

339638220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32055 (or 32050 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 339638220 is about 18429.2761659269. The cubic root of 339638220 is about 697.7055624128.

It can be divided in two parts, 3396 and 38220, that added together give a triangular number (41616 = T₂₈₈).

The spelling of 339638220 in words is "three hundred thirty-nine million, six hundred thirty-eight thousand, two hundred twenty".