33755040 has 144 divisors (see below), whose sum is σ = 125719776. Its totient is φ = 8179200.

The previous prime is 33755023. The next prime is 33755087. The reversal of 33755040 is 4055733.

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 2×33755040² = 2278805450803200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33754995 and 33755013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14775 + ... + 16905.

It is an arithmetic number, because the mean of its divisors is an integer number (873054).

Almost surely, 2^33755040 is an apocalyptic number.

33755040 is a gapful number since it is divisible by the number (30) 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 33755040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62859888).

33755040 is an abundant number, since it is smaller than the sum of its proper divisors (91964736).

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

33755040 is a wasteful number, since it uses less digits than its factorization.

33755040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 33755040 is about 5809.9087772529. The cubic root of 33755040 is about 323.1812891498.

The spelling of 33755040 in words is "thirty-three million, seven hundred fifty-five thousand, forty".