34212420 has 144 divisors (see below), whose sum is σ = 116520768. Its totient is φ = 8052480.

The previous prime is 34212419. The next prime is 34212421. The reversal of 34212420 is 2421243.

34212420 is a `hidden beast` number, since 3 + 421 + 242 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (34212419) and next prime (34212421).

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 = 34212393 and 34212402.

It is not an unprimeable number, because it can be changed into a prime (34212421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73027 + ... + 73493.

It is an arithmetic number, because the mean of its divisors is an integer number (809172).

Almost surely, 2^34212420 is an apocalyptic number.

34212420 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 34212420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58260384).

34212420 is an abundant number, since it is smaller than the sum of its proper divisors (82308348).

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

34212420 is a wasteful number, since it uses less digits than its factorization.

34212420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 34212420 is about 5849.1383980891. The cubic root of 34212420 is about 324.6344449993.

Adding to 34212420 its reverse (2421243), we get a palindrome (36633663).

The spelling of 34212420 in words is "thirty-four million, two hundred twelve thousand, four hundred twenty".