34061920 has 48 divisors (see below), whose sum is σ = 80831520. Its totient is φ = 13563904.

The previous prime is 34061917. The next prime is 34061953. The reversal of 34061920 is 2916043.

It is a congruent number.

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, 57144 + ... + 57736.

It is an arithmetic number, because the mean of its divisors is an integer number (1683990).

Almost surely, 2^34061920 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 34061920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40415760).

34061920 is an abundant number, since it is smaller than the sum of its proper divisors (46769600).

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

34061920 is a wasteful number, since it uses less digits than its factorization.

34061920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 34061920 is about 5836.2590758122. The cubic root of 34061920 is about 324.1577243550.

Adding to 34061920 its reverse (2916043), we get a palindrome (36977963).

The spelling of 34061920 in words is "thirty-four million, sixty-one thousand, nine hundred twenty".