34125420 has 96 divisors (see below), whose sum is σ = 112766976. Its totient is φ = 7545600.

The previous prime is 34125419. The next prime is 34125437. The reversal of 34125420 is 2452143.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 11710 + ... + 14330.

It is an arithmetic number, because the mean of its divisors is an integer number (1174656).

Almost surely, 2^34125420 is an apocalyptic number.

34125420 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 34125420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56383488).

34125420 is an abundant number, since it is smaller than the sum of its proper divisors (78641556).

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

34125420 is a wasteful number, since it uses less digits than its factorization.

34125420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2671 (or 2669 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 34125420 is about 5841.6966713447. The cubic root of 34125420 is about 324.3590365286.

Adding to 34125420 its reverse (2452143), we get a palindrome (36577563).

The spelling of 34125420 in words is "thirty-four million, one hundred twenty-five thousand, four hundred twenty".