34400312144232 has 128 divisors (see below), whose sum is σ = 87063889996800. Its totient is φ = 11325895257600.

The previous prime is 34400312144203. The next prime is 34400312144251. The reversal of 34400312144232 is 23244121300443.

It is a junction number, because it is equal to n+sod(n) for n = 34400312144193 and 34400312144202.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4503244269 + ... + 4503251907.

It is an arithmetic number, because the mean of its divisors is an integer number (680186640600).

Almost surely, 2^{34400312144232} is an apocalyptic number.

It is an amenable number.

34400312144232 is an abundant number, since it is smaller than the sum of its proper divisors (52663577852568).

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

34400312144232 is a wasteful number, since it uses less digits than its factorization.

34400312144232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14487 (or 14483 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 34400312144232 its reverse (23244121300443), we get a palindrome (57644433444675).

The spelling of 34400312144232 in words is "thirty-four trillion, four hundred billion, three hundred twelve million, one hundred forty-four thousand, two hundred thirty-two".