339428880 has 300 divisors, whose sum is σ = 1372640940. Its totient is φ = 77511168.

The previous prime is 339428879. The next prime is 339428891. The reversal of 339428880 is 88824933.

It can be written as a sum of positive squares in 2 ways, for example, as 140280336 + 199148544 = 11844^2 + 14112^2 .

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

It is a zygodrome in base 14.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 316986 + ... + 318054.

Almost surely, 2^339428880 is an apocalyptic number.

339428880 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 339428880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686320470).

339428880 is an abundant number, since it is smaller than the sum of its proper divisors (1033212060).

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

339428880 is a wasteful number, since it uses less digits than its factorization.

339428880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 339428880 is about 18423.5957402457. The cubic root of 339428880 is about 697.5621866164.

The spelling of 339428880 in words is "three hundred thirty-nine million, four hundred twenty-eight thousand, eight hundred eighty".