3421122102240 has 192 divisors, whose sum is σ = 11082572928000. Its totient is φ = 886457088000.

The previous prime is 3421122102199. The next prime is 3421122102257. The reversal of 3421122102240 is 422012211243.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3421122102240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13209511 + ... + 13466009.

It is an arithmetic number, because the mean of its divisors is an integer number (57721734000).

Almost surely, 2^{3421122102240} is an apocalyptic number.

3421122102240 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 3421122102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5541286464000).

3421122102240 is an abundant number, since it is smaller than the sum of its proper divisors (7661450825760).

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

3421122102240 is a wasteful number, since it uses less digits than its factorization.

3421122102240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257305 (or 257297 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 3421122102240 its reverse (422012211243), we get a palindrome (3843134313483).

The spelling of 3421122102240 in words is "three trillion, four hundred twenty-one billion, one hundred twenty-two million, one hundred two thousand, two hundred forty".