3366540360 has 256 divisors, whose sum is σ = 11774246400. Its totient is φ = 853991424.

The previous prime is 3366540323. The next prime is 3366540361. The reversal of 3366540360 is 630456633.

It is a happy number.

It is a super-2 number, since 2×3366540360² = 22667187991017859200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3366540361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7774704 + ... + 7775136.

It is an arithmetic number, because the mean of its divisors is an integer number (45993150).

Almost surely, 2^3366540360 is an apocalyptic number.

3366540360 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 3366540360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5887123200).

3366540360 is an abundant number, since it is smaller than the sum of its proper divisors (8407706040).

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

3366540360 is a wasteful number, since it uses less digits than its factorization.

3366540360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 3366540360 is about 58021.8955222940. The cubic root of 3366540360 is about 1498.7456713989.

Adding to 3366540360 its reverse (630456633), we get a palindrome (3996996993).

The spelling of 3366540360 in words is "three billion, three hundred sixty-six million, five hundred forty thousand, three hundred sixty".