34232334040400 has 120 divisors (see below), whose sum is σ = 87428919295200. Its totient is φ = 12843814464000.

The previous prime is 34232334040367. The next prime is 34232334040423. The reversal of 34232334040400 is 404043323243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21530690 + ... + 23065889.

It is an arithmetic number, because the mean of its divisors is an integer number (728574327460).

Almost surely, 2^{34232334040400} is an apocalyptic number.

It is an amenable number.

34232334040400 is an abundant number, since it is smaller than the sum of its proper divisors (53196585254800).

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

34232334040400 is a wasteful number, since it uses less digits than its factorization.

34232334040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44596717 (or 44596706 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 32.

Adding to 34232334040400 its reverse (404043323243), we get a palindrome (34636377363643).

The spelling of 34232334040400 in words is "thirty-four trillion, two hundred thirty-two billion, three hundred thirty-four million, forty thousand, four hundred".