34576920 has 96 divisors (see below), whose sum is σ = 128437920. Its totient is φ = 7902720.

The previous prime is 34576909. The next prime is 34576931. The reversal of 34576920 is 2967543.

It is an interprime number because it is at equal distance from previous prime (34576909) and next prime (34576931).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4341 + ... + 9380.

It is an arithmetic number, because the mean of its divisors is an integer number (1337895).

Almost surely, 2^34576920 is an apocalyptic number.

34576920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34576920 is an abundant number, since it is smaller than the sum of its proper divisors (93861000).

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

34576920 is a wasteful number, since it uses less digits than its factorization.

34576920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13745 (or 13738 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 34576920 is about 5880.2142818098. The cubic root of 34576920 is about 325.7832626638.

The spelling of 34576920 in words is "thirty-four million, five hundred seventy-six thousand, nine hundred twenty".