3291240064000 has 352 divisors, whose sum is σ = 9436797077760. Its totient is φ = 1122066432000.

The previous prime is 3291240063953. The next prime is 3291240064003. The reversal of 3291240064000 is 4600421923.

It is a happy number.

It is a super-2 number, since 2×3291240064000² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3291240064003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 160373740 + ... + 160394260.

Almost surely, 2^{3291240064000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3291240064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718398538880).

3291240064000 is an abundant number, since it is smaller than the sum of its proper divisors (6145557013760).

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

3291240064000 is a wasteful number, since it uses less digits than its factorization.

3291240064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20742 (or 20714 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 3291240064000 its reverse (4600421923), we get a palindrome (3295840485923).

The spelling of 3291240064000 in words is "three trillion, two hundred ninety-one billion, two hundred forty million, sixty-four thousand".