34666920 has 64 divisors (see below), whose sum is σ = 115560000. Its totient is φ = 9244224.

The previous prime is 34666913. The next prime is 34666921. The reversal of 34666920 is 2966643.

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

It is not an unprimeable number, because it can be changed into a prime (34666921) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14970 + ... + 17129.

It is an arithmetic number, because the mean of its divisors is an integer number (1805625).

Almost surely, 2^34666920 is an apocalyptic number.

34666920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34666920 is an abundant number, since it is smaller than the sum of its proper divisors (80893080).

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

34666920 is a wasteful number, since it uses less digits than its factorization.

34666920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32119 (or 32109 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 34666920 is about 5887.8620907762. The cubic root of 34666920 is about 326.0656773593.

The spelling of 34666920 in words is "thirty-four million, six hundred sixty-six thousand, nine hundred twenty".