34885920 has 48 divisors (see below), whose sum is σ = 109892160. Its totient is φ = 9302784.

The previous prime is 34885913. The next prime is 34885937. The reversal of 34885920 is 2958843.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35860 + ... + 36819.

It is an arithmetic number, because the mean of its divisors is an integer number (2289420).

Almost surely, 2^34885920 is an apocalyptic number.

34885920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34885920 is an abundant number, since it is smaller than the sum of its proper divisors (75006240).

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

34885920 is a wasteful number, since it uses less digits than its factorization.

34885920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72697 (or 72689 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 34885920 is about 5906.4303940705. The cubic root of 34885920 is about 326.7508506251.

It can be divided in two parts, 348 and 85920, that added together give a palindrome (86268).

The spelling of 34885920 in words is "thirty-four million, eight hundred eighty-five thousand, nine hundred twenty".