34001420 has 48 divisors (see below), whose sum is σ = 74366208. Its totient is φ = 13044480.

The previous prime is 34001417. The next prime is 34001437. The reversal of 34001420 is 2410043.

It is a junction number, because it is equal to n+sod(n) for n = 34001395 and 34001404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107102 + ... + 107418.

It is an arithmetic number, because the mean of its divisors is an integer number (1549296).

Almost surely, 2^34001420 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 34001420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37183104).

34001420 is an abundant number, since it is smaller than the sum of its proper divisors (40364788).

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

34001420 is a wasteful number, since it uses less digits than its factorization.

34001420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 34001420 is about 5831.0736575694. The cubic root of 34001420 is about 323.9656901128.

Adding to 34001420 its reverse (2410043), we get a palindrome (36411463).

The spelling of 34001420 in words is "thirty-four million, one thousand, four hundred twenty".