34117020 has 72 divisors (see below), whose sum is σ = 118276704. Its totient is φ = 7797888.

The previous prime is 34117009. The next prime is 34117033. The reversal of 34117020 is 2071143.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34116984 and 34117002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12279 + ... + 14798.

It is an arithmetic number, because the mean of its divisors is an integer number (1642732).

Almost surely, 2^34117020 is an apocalyptic number.

34117020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34117020 is an abundant number, since it is smaller than the sum of its proper divisors (84159684).

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

34117020 is a wasteful number, since it uses less digits than its factorization.

34117020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27099 (or 27094 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 34117020 is about 5840.9776578926. The cubic root of 34117020 is about 324.3324205974.

Adding to 34117020 its reverse (2071143), we get a palindrome (36188163).

The spelling of 34117020 in words is "thirty-four million, one hundred seventeen thousand, twenty".