34000463124 has 60 divisors (see below), whose sum is σ = 90390484800. Its totient is φ = 11141388432.

The previous prime is 34000463113. The next prime is 34000463129. The reversal of 34000463124 is 42136400043.

34000463124 is a `hidden beast` number, since 3 + 4 + 0 + 0 + 0 + 4 + 631 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000463129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 870204 + ... + 908435.

It is an arithmetic number, because the mean of its divisors is an integer number (1506508080).

Almost surely, 2^34000463124 is an apocalyptic number.

It is an amenable number.

34000463124 is an abundant number, since it is smaller than the sum of its proper divisors (56390021676).

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

34000463124 is a wasteful number, since it uses less digits than its factorization.

34000463124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778714 (or 1778703 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34000463124 its reverse (42136400043), we get a palindrome (76136863167).

The spelling of 34000463124 in words is "thirty-four billion, four hundred sixty-three thousand, one hundred twenty-four".