42034020 has 96 divisors (see below), whose sum is σ = 137846016. Its totient is φ = 9369600.

The previous prime is 42034007. The next prime is 42034037. The reversal of 42034020 is 2043024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16000 + ... + 18440.

It is an arithmetic number, because the mean of its divisors is an integer number (1435896).

Almost surely, 2^42034020 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 42034020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68923008).

42034020 is an abundant number, since it is smaller than the sum of its proper divisors (95811996).

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

42034020 is a wasteful number, since it uses less digits than its factorization.

42034020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 42034020 is about 6483.3648671041. The cubic root of 42034020 is about 347.6964918792.

Adding to 42034020 its reverse (2043024), we get a palindrome (44077044).

It can be divided in two parts, 420 and 34020, that multiplied together give a square (14288400 = 3780²).

The spelling of 42034020 in words is "forty-two million, thirty-four thousand, twenty".