3434410142200 has 48 divisors (see below), whose sum is σ = 7998469292880. Its totient is φ = 1371447375360.

The previous prime is 3434410142159. The next prime is 3434410142249. The reversal of 3434410142200 is 22410144343.

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, 14360364 + ... + 14597563.

It is an arithmetic number, because the mean of its divisors is an integer number (166634776935).

Almost surely, 2^{3434410142200} is an apocalyptic number.

It is an amenable number.

3434410142200 is an abundant number, since it is smaller than the sum of its proper divisors (4564059150680).

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

3434410142200 is a wasteful number, since it uses less digits than its factorization.

3434410142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28958536 (or 28958527 counting only the distinct ones).

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

Adding to 3434410142200 its reverse (22410144343), we get a palindrome (3456820286543).

The spelling of 3434410142200 in words is "three trillion, four hundred thirty-four billion, four hundred ten million, one hundred forty-two thousand, two hundred".