3325213211040 has 288 divisors, whose sum is σ = 13731175261440. Its totient is φ = 715339948032.

The previous prime is 3325213211039. The next prime is 3325213211063. The reversal of 3325213211040 is 401123125233.

3325213211040 is a `hidden beast` number, since 3 + 3 + 2 + 521 + 32 + 1 + 104 + 0 = 666.

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

It is a super-2 number, since 2×3325213211040² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3325213210995 and 3325213211013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9531060 + ... + 9873779.

It is an arithmetic number, because the mean of its divisors is an integer number (47677691880).

Almost surely, 2^{3325213211040} is an apocalyptic number.

3325213211040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3325213211040 is an abundant number, since it is smaller than the sum of its proper divisors (10405962050400).

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

3325213211040 is a wasteful number, since it uses less digits than its factorization.

3325213211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19404884 (or 19404873 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 3325213211040 its reverse (401123125233), we get a palindrome (3726336336273).

The spelling of 3325213211040 in words is "three trillion, three hundred twenty-five billion, two hundred thirteen million, two hundred eleven thousand, forty".