34655985 has 144 divisors (see below), whose sum is σ = 80110080. Its totient is φ = 14152320.

The previous prime is 34655941. The next prime is 34655989. The reversal of 34655985 is 58955643.

It is not a de Polignac number, because 34655985 - 2⁶ = 34655921 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 34655985.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34655989) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1117920 + ... + 1117950.

It is an arithmetic number, because the mean of its divisors is an integer number (556320).

Almost surely, 2^34655985 is an apocalyptic number.

34655985 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34655985 is an abundant number, since it is smaller than the sum of its proper divisors (45454095).

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

34655985 is a wasteful number, since it uses less digits than its factorization.

34655985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 59 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 34655985 is about 5886.9334122275. The cubic root of 34655985 is about 326.0313900796.

The spelling of 34655985 in words is "thirty-four million, six hundred fifty-five thousand, nine hundred eighty-five".