3404142313000 has 256 divisors, whose sum is σ = 9362778647040. Its totient is φ = 1142102016000.

The previous prime is 3404142312919. The next prime is 3404142313009. The reversal of 3404142313000 is 3132414043.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3404142313009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393674677 + ... + 393683323.

It is an arithmetic number, because the mean of its divisors is an integer number (36573354090).

Almost surely, 2^{3404142313000} 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 3404142313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4681389323520).

3404142313000 is an abundant number, since it is smaller than the sum of its proper divisors (5958636334040).

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

3404142313000 is a wasteful number, since it uses less digits than its factorization.

3404142313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11445 (or 11431 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 3404142313000 its reverse (3132414043), we get a palindrome (3407274727043).

The spelling of 3404142313000 in words is "three trillion, four hundred four billion, one hundred forty-two million, three hundred thirteen thousand".