34103920 has 40 divisors (see below), whose sum is σ = 80039520. Its totient is φ = 13512960.

The previous prime is 34103911. The next prime is 34103929. The reversal of 34103920 is 2930143.

It is an interprime number because it is at equal distance from previous prime (34103911) and next prime (34103929).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 34103891 and 34103900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34103929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6765 + ... + 10675.

It is an arithmetic number, because the mean of its divisors is an integer number (2000988).

Almost surely, 2^34103920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34103920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40019760).

34103920 is an abundant number, since it is smaller than the sum of its proper divisors (45935600).

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

34103920 is a wasteful number, since it uses less digits than its factorization.

34103920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4033 (or 4027 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 34103920 is about 5839.8561626122. The cubic root of 34103920 is about 324.2909036984.

The spelling of 34103920 in words is "thirty-four million, one hundred three thousand, nine hundred twenty".