33888049920 has 144 divisors (see below), whose sum is σ = 120255633120. Its totient is φ = 9036804096.

The previous prime is 33888049907. The next prime is 33888049967. The reversal of 33888049920 is 2994088833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33888049920² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 455719 + ... + 524838.

Almost surely, 2^33888049920 is an apocalyptic number.

33888049920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33888049920 is an abundant number, since it is smaller than the sum of its proper divisors (86367583200).

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

33888049920 is an equidigital number, since it uses as much as digits as its factorization.

33888049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980587 (or 980567 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 33888049920 in words is "thirty-three billion, eight hundred eighty-eight million, forty-nine thousand, nine hundred twenty".