33952080 has 80 divisors (see below), whose sum is σ = 105868224. Its totient is φ = 9000960.

The previous prime is 33952073. The next prime is 33952091. The reversal of 33952080 is 8025933.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57547 + ... + 58133.

Almost surely, 2^33952080 is an apocalyptic number.

33952080 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 33952080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52934112).

33952080 is an abundant number, since it is smaller than the sum of its proper divisors (71916144).

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

33952080 is a wasteful number, since it uses less digits than its factorization.

33952080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 33952080 is about 5826.8413398685. The cubic root of 33952080 is about 323.8089103355.

The spelling of 33952080 in words is "thirty-three million, nine hundred fifty-two thousand, eighty".