34243132400 has 60 divisors (see below), whose sum is σ = 82294912104. Its totient is φ = 13692960000.

The previous prime is 34243132373. The next prime is 34243132457. The reversal of 34243132400 is 423134243.

It is a Cunningham number, because it is equal to 185049²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 34243132400.

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, 1468835 + ... + 1491965.

Almost surely, 2^34243132400 is an apocalyptic number.

It is an amenable number.

34243132400 is an abundant number, since it is smaller than the sum of its proper divisors (48051779704).

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

34243132400 is a wasteful number, since it uses less digits than its factorization.

34243132400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26850 (or 26839 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 34243132400 its reverse (423134243), we get a palindrome (34666266643).

The spelling of 34243132400 in words is "thirty-four billion, two hundred forty-three million, one hundred thirty-two thousand, four hundred".