34889085 has 48 divisors (see below), whose sum is σ = 75404160. Its totient is φ = 14497920.

The previous prime is 34889081. The next prime is 34889093. The reversal of 34889085 is 58098843.

34889085 is a `hidden beast` number, since 3 + 488 + 90 + 85 = 666.

It is not a de Polignac number, because 34889085 - 2² = 34889081 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34889085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34889081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1570 + ... + 8499.

It is an arithmetic number, because the mean of its divisors is an integer number (1570920).

Almost surely, 2^34889085 is an apocalyptic number.

34889085 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34889085 is an abundant number, since it is smaller than the sum of its proper divisors (40515075).

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

34889085 is a wasteful number, since it uses less digits than its factorization.

34889085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10098 (or 10095 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 34889085 is about 5906.6983163185. The cubic root of 34889085 is about 326.7607317383.

The spelling of 34889085 in words is "thirty-four million, eight hundred eighty-nine thousand, eighty-five".