34506420 has 144 divisors (see below), whose sum is σ = 108464832. Its totient is φ = 8186880.

The previous prime is 34506391. The next prime is 34506469. The reversal of 34506420 is 2460543.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 415699 + ... + 415781.

It is an arithmetic number, because the mean of its divisors is an integer number (753228).

Almost surely, 2^34506420 is an apocalyptic number.

34506420 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 34506420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54232416).

34506420 is an abundant number, since it is smaller than the sum of its proper divisors (73958412).

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

34506420 is a wasteful number, since it uses less digits than its factorization.

34506420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 34506420 is about 5874.2165435060. The cubic root of 34506420 is about 325.5616953331.

Adding to 34506420 its reverse (2460543), we get a palindrome (36966963).

It can be divided in two parts, 3450 and 6420, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 34506420 in words is "thirty-four million, five hundred six thousand, four hundred twenty".