3433601198304 has 192 divisors, whose sum is σ = 10035537684480. Its totient is φ = 1142151943680.

The previous prime is 3433601198263. The next prime is 3433601198323. The reversal of 3433601198304 is 4038911063343.

3433601198304 is a `hidden beast` number, since 3 + 4 + 3 + 3 + 601 + 1 + 9 + 8 + 30 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3433601198304.

It is a congruent number.

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, 1130588274 + ... + 1130591310.

It is an arithmetic number, because the mean of its divisors is an integer number (52268425440).

Almost surely, 2^{3433601198304} 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 3433601198304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017768842240).

3433601198304 is an abundant number, since it is smaller than the sum of its proper divisors (6601936486176).

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

3433601198304 is a wasteful number, since it uses less digits than its factorization.

3433601198304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5350 (or 5336 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 3433601198304 in words is "three trillion, four hundred thirty-three billion, six hundred one million, one hundred ninety-eight thousand, three hundred four".