34081920 has 192 divisors, whose sum is σ = 120851640. Its totient is φ = 8847360.

The previous prime is 34081913. The next prime is 34081933. The reversal of 34081920 is 2918043.

It can be written as a sum of positive squares in 4 ways, for example, as 16842816 + 17239104 = 4104^2 + 4152^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351312 + ... + 351408.

Almost surely, 2^34081920 is an apocalyptic number.

34081920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60425820).

34081920 is an abundant number, since it is smaller than the sum of its proper divisors (86769720).

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

34081920 is a wasteful number, since it uses less digits than its factorization.

34081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 34081920 is about 5837.9722507049. The cubic root of 34081920 is about 324.2211567354.

Adding to 34081920 its reverse (2918043), we get a palindrome (36999963).

The spelling of 34081920 in words is "thirty-four million, eighty-one thousand, nine hundred twenty".