3423214041400 has 144 divisors (see below), whose sum is σ = 8424600322320. Its totient is φ = 1292792256000.

The previous prime is 3423214041371. The next prime is 3423214041421. The reversal of 3423214041400 is 41404123243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7662997 + ... + 8097403.

It is an arithmetic number, because the mean of its divisors is an integer number (58504168905).

Almost surely, 2^{3423214041400} 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 3423214041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212300161160).

3423214041400 is an abundant number, since it is smaller than the sum of its proper divisors (5001386280920).

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

3423214041400 is a wasteful number, since it uses less digits than its factorization.

3423214041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434526 (or 434486 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 3423214041400 its reverse (41404123243), we get a palindrome (3464618164643).

The spelling of 3423214041400 in words is "three trillion, four hundred twenty-three billion, two hundred fourteen million, forty-one thousand, four hundred".