3414424210000 has 100 divisors (see below), whose sum is σ = 8331757384192. Its totient is φ = 1355015088000.

The previous prime is 3414424209967. The next prime is 3414424210019. The reversal of 3414424210000 is 124244143.

3414424210000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×3414424210000³ (a number of 39 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74262 + ... + 2614261.

Almost surely, 2^{3414424210000} 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 3414424210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4165878692096).

3414424210000 is an abundant number, since it is smaller than the sum of its proper divisors (4917333174192).

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

3414424210000 is a wasteful number, since it uses less digits than its factorization.

3414424210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688678 (or 2688657 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 3414424210000 its reverse (124244143), we get a palindrome (3414548454143).

The spelling of 3414424210000 in words is "three trillion, four hundred fourteen billion, four hundred twenty-four million, two hundred ten thousand".