34123011230400 has 84 divisors (see below), whose sum is σ = 111951912694152. Its totient is φ = 9099469660160.

The previous prime is 34123011230381. The next prime is 34123011230437. The reversal of 34123011230400 is 403211032143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 3554475537 + ... + 3554485136.

Almost surely, 2^{34123011230400} is an apocalyptic number.

34123011230400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34123011230400 is an abundant number, since it is smaller than the sum of its proper divisors (77828901463752).

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

34123011230400 is a wasteful number, since it uses less digits than its factorization.

34123011230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7108960698 (or 7108960683 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34123011230400 its reverse (403211032143), we get a palindrome (34526222262543).

The spelling of 34123011230400 in words is "thirty-four trillion, one hundred twenty-three billion, eleven million, two hundred thirty thousand, four hundred".