42033684 has 48 divisors (see below), whose sum is σ = 122282496. Its totient is φ = 10917600.

The previous prime is 42033683. The next prime is 42033701. The reversal of 42033684 is 48633024.

It is a super-2 number, since 2×42033684² = 3533661181223712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42033683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21822 + ... + 23669.

It is an arithmetic number, because the mean of its divisors is an integer number (2547552).

Almost surely, 2^42033684 is an apocalyptic number.

42033684 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42033684 is an abundant number, since it is smaller than the sum of its proper divisors (80248812).

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

42033684 is a wasteful number, since it uses less digits than its factorization.

42033684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45516 (or 45514 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 42033684 is about 6483.3389545820. The cubic root of 42033684 is about 347.6955654365.

It can be divided in two parts, 4203 and 3684, that added together give a palindrome (7887).

The spelling of 42033684 in words is "forty-two million, thirty-three thousand, six hundred eighty-four".