339116544 has 400 divisors, whose sum is σ = 1185346008. Its totient is φ = 95551488.

The previous prime is 339116537. The next prime is 339116551. The reversal of 339116544 is 445611933.

It is an interprime number because it is at equal distance from previous prime (339116537) and next prime (339116551).

It can be written as a sum of positive squares in 4 ways, for example, as 324000000 + 15116544 = 18000^2 + 3888^2 .

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

Its product of digits (38880) is a multiple of the sum of its prime divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 339116499 and 339116508.

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, 9165294 + ... + 9165330.

Almost surely, 2^339116544 is an apocalyptic number.

339116544 is a gapful number since it is divisible by the number (34) 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 339116544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592673004).

339116544 is an abundant number, since it is smaller than the sum of its proper divisors (846229464).

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

339116544 is a wasteful number, since it uses less digits than its factorization.

339116544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 72 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 339116544 is about 18415.1172681577. The cubic root of 339116544 is about 697.3481598027.

The spelling of 339116544 in words is "three hundred thirty-nine million, one hundred sixteen thousand, five hundred forty-four".