34105995 has 128 divisors (see below), whose sum is σ = 80455680. Its totient is φ = 13271040.

The previous prime is 34105993. The next prime is 34106003. The reversal of 34105995 is 59950143.

It is not a de Polignac number, because 34105995 - 2¹ = 34105993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34105993) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 176619 + ... + 176811.

It is an arithmetic number, because the mean of its divisors is an integer number (628560).

Almost surely, 2^34105995 is an apocalyptic number.

34105995 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

34105995 is an abundant number, since it is smaller than the sum of its proper divisors (46349685).

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

34105995 is a wasteful number, since it uses less digits than its factorization.

34105995 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 34105995 is about 5840.0338183952. The cubic root of 34105995 is about 324.2974805570.

The spelling of 34105995 in words is "thirty-four million, one hundred five thousand, nine hundred ninety-five".