33042400034 has 48 divisors (see below), whose sum is σ = 59911488000. Its totient is φ = 13386722688.

The previous prime is 33042400033. The next prime is 33042400037. The reversal of 33042400034 is 43000424033.

It is a happy number.

It is a super-3 number, since 3×33042400034³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33042399982 and 33042400009.

It is not an unprimeable number, because it can be changed into a prime (33042400033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2414042 + ... + 2427690.

It is an arithmetic number, because the mean of its divisors is an integer number (1248156000).

Almost surely, 2^33042400034 is an apocalyptic number.

33042400034 is a deficient number, since it is larger than the sum of its proper divisors (26869087966).

33042400034 is a wasteful number, since it uses less digits than its factorization.

33042400034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14175 (or 14156 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 23.

Adding to 33042400034 its reverse (43000424033), we get a palindrome (76042824067).

The spelling of 33042400034 in words is "thirty-three billion, forty-two million, four hundred thousand, thirty-four".