3484033204000 has 192 divisors, whose sum is σ = 9061404992640. Its totient is φ = 1314263731200.

The previous prime is 3484033203997. The next prime is 3484033204013. The reversal of 3484033204000 is 4023304843.

3484033204000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4638759 + ... + 5337241.

It is an arithmetic number, because the mean of its divisors is an integer number (47194817670).

Almost surely, 2^{3484033204000} 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 3484033204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4530702496320).

3484033204000 is an abundant number, since it is smaller than the sum of its proper divisors (5577371788640).

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

3484033204000 is a wasteful number, since it uses less digits than its factorization.

3484033204000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698580 (or 698562 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 3484033204000 its reverse (4023304843), we get a palindrome (3488056508843).

The spelling of 3484033204000 in words is "three trillion, four hundred eighty-four billion, thirty-three million, two hundred four thousand".