3431222232400 has 60 divisors (see below), whose sum is σ = 8255139051100. Its totient is φ = 1370552970240.

The previous prime is 3431222232293. The next prime is 3431222232437. The reversal of 3431222232400 is 42322221343.

It can be written as a sum of positive squares in 6 ways, for example, as 90822671424 + 3340399560976 = 301368^2 + 1827676^2 .

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, 5765805 + ... + 6333004.

Almost surely, 2^{3431222232400} is an apocalyptic number.

It is an amenable number.

3431222232400 is an abundant number, since it is smaller than the sum of its proper divisors (4823916818700).

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

3431222232400 is a wasteful number, since it uses less digits than its factorization.

3431222232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12099536 (or 12099525 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 3431222232400 its reverse (42322221343), we get a palindrome (3473544453743).

The spelling of 3431222232400 in words is "three trillion, four hundred thirty-one billion, two hundred twenty-two million, two hundred thirty-two thousand, four hundred".