3365596630440 has 1536 divisors, whose sum is σ = 13853638656000. Its totient is φ = 698384332800.

The previous prime is 3365596630399. The next prime is 3365596630541. The reversal of 3365596630440 is 440366955633.

3365596630440 is a `hidden beast` number, since 3 + 3 + 6 + 5 + 596 + 6 + 3 + 0 + 4 + 40 = 666.

It is a super-2 number, since 2×3365596630440² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2306782431 + ... + 2306783889.

It is an arithmetic number, because the mean of its divisors is an integer number (9019296000).

Almost surely, 2^{3365596630440} is an apocalyptic number.

3365596630440 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 3365596630440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926819328000).

3365596630440 is an abundant number, since it is smaller than the sum of its proper divisors (10488042025560).

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

3365596630440 is a wasteful number, since it uses less digits than its factorization.

3365596630440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1603 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 54.

The spelling of 3365596630440 in words is "three trillion, three hundred sixty-five billion, five hundred ninety-six million, six hundred thirty thousand, four hundred forty".