3213450240000 has 3360 divisors, whose sum is σ = 15247692176640. Its totient is φ = 583925760000.

The previous prime is 3213450239983. The next prime is 3213450240023. The reversal of 3213450240000 is 420543123.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 169128959991 + ... + 169128960009.

It is an arithmetic number, because the mean of its divisors is an integer number (4538003624).

Almost surely, 2^{3213450240000} is an apocalyptic number.

3213450240000 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 3213450240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7623846088320).

3213450240000 is an abundant number, since it is smaller than the sum of its proper divisors (12034241936640).

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

3213450240000 is a wasteful number, since it uses less digits than its factorization.

3213450240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 3213450240000 its reverse (420543123), we get a palindrome (3213870783123).

The spelling of 3213450240000 in words is "three trillion, two hundred thirteen billion, four hundred fifty million, two hundred forty thousand".