34775920 has 20 divisors (see below), whose sum is σ = 80854200. Its totient is φ = 13910336.

The previous prime is 34775899. The next prime is 34775927. The reversal of 34775920 is 2957743.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×34775920² = 2418729223692800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34775920.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34775927) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 217270 + ... + 217429.

It is an arithmetic number, because the mean of its divisors is an integer number (4042710).

Almost surely, 2^34775920 is an apocalyptic number.

It is an amenable number.

34775920 is an abundant number, since it is smaller than the sum of its proper divisors (46078280).

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

34775920 is a wasteful number, since it uses less digits than its factorization.

34775920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434712 (or 434706 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 34775920 is about 5897.1111571684. Note that the first 4 decimals coincide. The cubic root of 34775920 is about 326.4070592315.

It can be divided in two parts, 347 and 75920, that added together give a palindrome (76267).

The spelling of 34775920 in words is "thirty-four million, seven hundred seventy-five thousand, nine hundred twenty".