3434214124400 has 60 divisors (see below), whose sum is σ = 8326394029800. Its totient is φ = 1361083011840.

The previous prime is 3434214124399. The next prime is 3434214124421. The reversal of 3434214124400 is 44214124343.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39339590 + ... + 39426789.

It is an arithmetic number, because the mean of its divisors is an integer number (138773233830).

Almost surely, 2^{3434214124400} is an apocalyptic number.

It is an amenable number.

3434214124400 is an abundant number, since it is smaller than the sum of its proper divisors (4892179905400).

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

3434214124400 is a wasteful number, since it uses less digits than its factorization.

3434214124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78766506 (or 78766495 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 3434214124400 its reverse (44214124343), we get a palindrome (3478428248743).

The spelling of 3434214124400 in words is "three trillion, four hundred thirty-four billion, two hundred fourteen million, one hundred twenty-four thousand, four hundred".