34166920 has 32 divisors (see below), whose sum is σ = 77935320. Its totient is φ = 13478400.

The previous prime is 34166911. The next prime is 34166933. The reversal of 34166920 is 2966143.

It can be written as a sum of positive squares in 4 ways, for example, as 31561924 + 2604996 = 5618^2 + 1614^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2931 + ... + 8770.

Almost surely, 2^34166920 is an apocalyptic number.

It is an amenable number.

34166920 is an abundant number, since it is smaller than the sum of its proper divisors (43768400).

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

34166920 is a wasteful number, since it uses less digits than its factorization.

34166920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11785 (or 11781 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 34166920 is about 5845.2476423159. The cubic root of 34166920 is about 324.4904678496.

The spelling of 34166920 in words is "thirty-four million, one hundred sixty-six thousand, nine hundred twenty".