34142334400 has 84 divisors (see below), whose sum is σ = 85388963080. Its totient is φ = 13433011200.

The previous prime is 34142334389. The next prime is 34142334431. The reversal of 34142334400 is 443324143.

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, 77310 + ... + 272509.

Almost surely, 2^34142334400 is an apocalyptic number.

It is an amenable number.

34142334400 is an abundant number, since it is smaller than the sum of its proper divisors (51246628680).

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

34142334400 is a wasteful number, since it uses less digits than its factorization.

34142334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349902 (or 349887 counting only the distinct ones).

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

Adding to 34142334400 its reverse (443324143), we get a palindrome (34585658543).

The spelling of 34142334400 in words is "thirty-four billion, one hundred forty-two million, three hundred thirty-four thousand, four hundred".