34577629905 has 32 divisors (see below), whose sum is σ = 68091335424. Its totient is φ = 14590999296.

The previous prime is 34577629903. The next prime is 34577629969. The reversal of 34577629905 is 50992677543.

It is not a de Polignac number, because 34577629905 - 2¹ = 34577629903 is a prime.

It is a super-2 number, since 2×34577629905² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34577629903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12664434 + ... + 12667163.

It is an arithmetic number, because the mean of its divisors is an integer number (2127854232).

Almost surely, 2^34577629905 is an apocalyptic number.

34577629905 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34577629905 is a deficient number, since it is larger than the sum of its proper divisors (33513705519).

34577629905 is a wasteful number, since it uses less digits than its factorization.

34577629905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25331625.

The product of its (nonzero) digits is 14288400, while the sum is 57.

The spelling of 34577629905 in words is "thirty-four billion, five hundred seventy-seven million, six hundred twenty-nine thousand, nine hundred five".