339979680 has 240 divisors, whose sum is σ = 1234011240. Its totient is φ = 88086528.

The previous prime is 339979669. The next prime is 339979691. The reversal of 339979680 is 86979933.

It is an interprime number because it is at equal distance from previous prime (339979669) and next prime (339979691).

It can be written as a sum of positive squares in 4 ways, for example, as 277822224 + 62157456 = 16668^2 + 7884^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 479166 + ... + 479874.

Almost surely, 2^339979680 is an apocalyptic number.

339979680 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 339979680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617005620).

339979680 is an abundant number, since it is smaller than the sum of its proper divisors (894031560).

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

339979680 is a wasteful number, since it uses less digits than its factorization.

339979680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 339979680 is about 18438.5379029900. The cubic root of 339979680 is about 697.9393000912.

The spelling of 339979680 in words is "three hundred thirty-nine million, nine hundred seventy-nine thousand, six hundred eighty".