3404205532000 has 576 divisors, whose sum is σ = 10411295731200. Its totient is φ = 1071089510400.

The previous prime is 3404205531983. The next prime is 3404205532027. The reversal of 3404205532000 is 2355024043.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 3404205532000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 847025991 + ... + 847030009.

It is an arithmetic number, because the mean of its divisors is an integer number (18075166200).

Almost surely, 2^{3404205532000} 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 3404205532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5205647865600).

3404205532000 is an abundant number, since it is smaller than the sum of its proper divisors (7007090199200).

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

3404205532000 is a wasteful number, since it uses less digits than its factorization.

3404205532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4256 (or 4225 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The spelling of 3404205532000 in words is "three trillion, four hundred four billion, two hundred five million, five hundred thirty-two thousand".