34723648575 has 72 divisors (see below), whose sum is σ = 77540501376. Its totient is φ = 14430600000.

The previous prime is 34723648567. The next prime is 34723648579. The reversal of 34723648575 is 57584632743.

It is a happy number.

34723648575 is a `hidden beast` number, since 3 + 4 + 7 + 2 + 3 + 64 + 8 + 575 = 666.

It is not a de Polignac number, because 34723648575 - 2³ = 34723648567 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34723648579) 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 71 ways as a sum of consecutive naturals, for example, 984801 + ... + 1019450.

It is an arithmetic number, because the mean of its divisors is an integer number (1076951408).

Almost surely, 2^34723648575 is an apocalyptic number.

34723648575 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34723648575 is an abundant number, since it is smaller than the sum of its proper divisors (42816852801).

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

34723648575 is a wasteful number, since it uses less digits than its factorization.

34723648575 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004285 (or 2004277 counting only the distinct ones).

The product of its digits is 16934400, while the sum is 54.

The spelling of 34723648575 in words is "thirty-four billion, seven hundred twenty-three million, six hundred forty-eight thousand, five hundred seventy-five".