3359540000 has 240 divisors, whose sum is σ = 9001787256. Its totient is φ = 1228800000.

The previous prime is 3359539969. The next prime is 3359540071. The reversal of 3359540000 is 459533.

It can be written as a sum of positive squares in 20 ways, for example, as 1324086544 + 2035453456 = 36388^2 + 45116^2 .

It is a super-2 number, since 2×3359540000² = 22573018023200000000, which contains 22 as substring.

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, 13939880 + ... + 13940120.

Almost surely, 2^3359540000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3359540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500893628).

3359540000 is an abundant number, since it is smaller than the sum of its proper divisors (5642247256).

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

3359540000 is a wasteful number, since it uses less digits than its factorization.

3359540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 29.

The square root of 3359540000 is about 57961.5389719769. The cubic root of 3359540000 is about 1497.7061235049.

Adding to 3359540000 its reverse (459533), we get a palindrome (3359999533).

The spelling of 3359540000 in words is "three billion, three hundred fifty-nine million, five hundred forty thousand".