3412341424400 has 30 divisors (see below), whose sum is σ = 8198150273082. Its totient is φ = 1364936569600.

The previous prime is 3412341424399. The next prime is 3412341424417. The reversal of 3412341424400 is 44241432143.

It can be written as a sum of positive squares in 3 ways, for example, as 837561753856 + 2574779670544 = 915184^2 + 1604612^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4265426381 + ... + 4265427180.

Almost surely, 2^{3412341424400} is an apocalyptic number.

It is an amenable number.

3412341424400 is an abundant number, since it is smaller than the sum of its proper divisors (4785808848682).

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

3412341424400 is a wasteful number, since it uses less digits than its factorization.

3412341424400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8530853579 (or 8530853568 counting only the distinct ones).

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

Adding to 3412341424400 its reverse (44241432143), we get a palindrome (3456582856543).

The spelling of 3412341424400 in words is "three trillion, four hundred twelve billion, three hundred forty-one million, four hundred twenty-four thousand, four hundred".