3324342515040 has 288 divisors, whose sum is σ = 11677546966176. Its totient is φ = 860796518400.

The previous prime is 3324342515029. The next prime is 3324342515057. The reversal of 3324342515040 is 405152434233.

3324342515040 is a `hidden beast` number, since 3 + 3 + 2 + 43 + 425 + 150 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3324342515040² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3324342514986 and 3324342515004.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7178515 + ... + 7627565.

It is an arithmetic number, because the mean of its divisors is an integer number (40547038077).

Almost surely, 2^{3324342515040} is an apocalyptic number.

3324342515040 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 3324342515040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5838773483088).

3324342515040 is an abundant number, since it is smaller than the sum of its proper divisors (8353204451136).

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

3324342515040 is a wasteful number, since it uses less digits than its factorization.

3324342515040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449222 (or 449211 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 3324342515040 its reverse (405152434233), we get a palindrome (3729494949273).

The spelling of 3324342515040 in words is "three trillion, three hundred twenty-four billion, three hundred forty-two million, five hundred fifteen thousand, forty".