34516442007 has 32 divisors (see below), whose sum is σ = 52982439360. Its totient is φ = 22190837760.

The previous prime is 34516441969. The next prime is 34516442057. The reversal of 34516442007 is 70024461543.

34516442007 is a `hidden beast` number, since 3 + 4 + 5 + 1 + 644 + 2 + 0 + 0 + 7 = 666.

It is not a de Polignac number, because 34516442007 - 2¹⁹ = 34515917719 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34516442057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39994 + ... + 265767.

It is an arithmetic number, because the mean of its divisors is an integer number (1655701230).

Almost surely, 2^34516442007 is an apocalyptic number.

34516442007 is a gapful number since it is divisible by the number (37) formed by its first and last digit.

34516442007 is a deficient number, since it is larger than the sum of its proper divisors (18465997353).

34516442007 is a wasteful number, since it uses less digits than its factorization.

34516442007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305920 (or 305914 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 34516442007 in words is "thirty-four billion, five hundred sixteen million, four hundred forty-two thousand, seven".