339871680 has 224 divisors, whose sum is σ = 1211884800. Its totient is φ = 89662464.

The previous prime is 339871663. The next prime is 339871681. The reversal of 339871680 is 86178933.

It is a happy number.

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 (339871681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1200819 + ... + 1201101.

It is an arithmetic number, because the mean of its divisors is an integer number (5410200).

Almost surely, 2^339871680 is an apocalyptic number.

339871680 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 339871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605942400).

339871680 is an abundant number, since it is smaller than the sum of its proper divisors (872013120).

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

339871680 is a wasteful number, since it uses less digits than its factorization.

339871680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 339871680 is about 18435.6090216732. The cubic root of 339871680 is about 697.8653883921.

It can be divided in two parts, 3398 and 71680, that added together give a triangular number (75078 = T₃₈₇).

The spelling of 339871680 in words is "three hundred thirty-nine million, eight hundred seventy-one thousand, six hundred eighty".