34032420 has 192 divisors, whose sum is σ = 116121600. Its totient is φ = 8242560.

The previous prime is 34032409. The next prime is 34032461. The reversal of 34032420 is 2423043.

34032420 is a `hidden beast` number, since 340 + 324 + 2 + 0 = 666.

It is a super-2 number, since 2×34032420² = 2316411222112800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 34032393 and 34032402.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 318007 + ... + 318113.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 2^34032420 is an apocalyptic number.

34032420 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 34032420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58060800).

34032420 is an abundant number, since it is smaller than the sum of its proper divisors (82089180).

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

34032420 is a wasteful number, since it uses less digits than its factorization.

34032420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 34032420 is about 5833.7312245252. The cubic root of 34032420 is about 324.0641162550.

Adding to 34032420 its reverse (2423043), we get a palindrome (36455463).

The spelling of 34032420 in words is "thirty-four million, thirty-two thousand, four hundred twenty".