3364032360 has 128 divisors (see below), whose sum is σ = 10941154560. Its totient is φ = 822528000.

The previous prime is 3364032359. The next prime is 3364032361. The reversal of 3364032360 is 632304633.

It is an interprime number because it is at equal distance from previous prime (3364032359) and next prime (3364032361).

It is a super-2 number, since 2×3364032360² = 22633427438254339200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3364032361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228420 + ... + 242700.

It is an arithmetic number, because the mean of its divisors is an integer number (85477770).

Almost surely, 2^3364032360 is an apocalyptic number.

3364032360 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 3364032360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5470577280).

3364032360 is an abundant number, since it is smaller than the sum of its proper divisors (7577122200).

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

3364032360 is a wasteful number, since it uses less digits than its factorization.

3364032360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14459 (or 14455 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 30.

The square root of 3364032360 is about 58000.2789648464. The cubic root of 3364032360 is about 1498.3734011996.

Adding to 3364032360 its reverse (632304633), we get a palindrome (3996336993).

The spelling of 3364032360 in words is "three billion, three hundred sixty-four million, thirty-two thousand, three hundred sixty".