42034760 has 64 divisors (see below), whose sum is σ = 98841600. Its totient is φ = 16070400.

The previous prime is 42034753. The next prime is 42034771. The reversal of 42034760 is 6743024.

It is a happy number.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

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, 135005 + ... + 135315.

It is an arithmetic number, because the mean of its divisors is an integer number (1544400).

Almost surely, 2^42034760 is an apocalyptic number.

42034760 is a gapful number since it is divisible by the number (40) 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 42034760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49420800).

42034760 is an abundant number, since it is smaller than the sum of its proper divisors (56806840).

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

42034760 is a wasteful number, since it uses less digits than its factorization.

42034760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The square root of 42034760 is about 6483.4219359841. The cubic root of 42034760 is about 347.6985322416.

Adding to 42034760 its reverse (6743024), we get a palindrome (48777784).

The spelling of 42034760 in words is "forty-two million, thirty-four thousand, seven hundred sixty".