34642006245 has 96 divisors (see below), whose sum is σ = 75635239680. Its totient is φ = 14248120320.

The previous prime is 34642006127. The next prime is 34642006247. The reversal of 34642006245 is 54260024643.

34642006245 is a `hidden beast` number, since 3 + 4 + 6 + 4 + 20 + 0 + 624 + 5 = 666.

It is not a de Polignac number, because 34642006245 - 2⁹ = 34642005733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34642006247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 284571 + ... + 387639.

It is an arithmetic number, because the mean of its divisors is an integer number (787867080).

Almost surely, 2^34642006245 is an apocalyptic number.

34642006245 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34642006245 is an abundant number, since it is smaller than the sum of its proper divisors (40993233435).

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

34642006245 is a wasteful number, since it uses less digits than its factorization.

34642006245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103195 (or 103192 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 34642006245 in words is "thirty-four billion, six hundred forty-two million, six thousand, two hundred forty-five".