34005624345 has 192 divisors, whose sum is σ = 74724249600. Its totient is φ = 13896645120.

The previous prime is 34005624329. The next prime is 34005624349. The reversal of 34005624345 is 54342650043.

34005624345 is a `hidden beast` number, since 3 + 400 + 5 + 6 + 243 + 4 + 5 = 666.

It is not a de Polignac number, because 34005624345 - 2⁴ = 34005624329 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34005624349) 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 191 ways as a sum of consecutive naturals, for example, 67605364 + ... + 67605866.

It is an arithmetic number, because the mean of its divisors is an integer number (389188800).

Almost surely, 2^34005624345 is an apocalyptic number.

34005624345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34005624345 is an abundant number, since it is smaller than the sum of its proper divisors (40718625255).

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

34005624345 is a wasteful number, since it uses less digits than its factorization.

34005624345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 34005624345 in words is "thirty-four billion, five million, six hundred twenty-four thousand, three hundred forty-five".