33378720 has 48 divisors (see below), whose sum is σ = 105144480. Its totient is φ = 8900864.

The previous prime is 33378713. The next prime is 33378749. The reversal of 33378720 is 2787333.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33378720² = 2228277897676800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34290 + ... + 35249.

It is an arithmetic number, because the mean of its divisors is an integer number (2190510).

Almost surely, 2^33378720 is an apocalyptic number.

33378720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33378720 is an abundant number, since it is smaller than the sum of its proper divisors (71765760).

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

33378720 is a wasteful number, since it uses less digits than its factorization.

33378720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69557 (or 69549 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 33378720 is about 5777.4319554626. The cubic root of 33378720 is about 321.9757964396.

The spelling of 33378720 in words is "thirty-three million, three hundred seventy-eight thousand, seven hundred twenty".