33780768 has 96 divisors (see below), whose sum is σ = 107339904. Its totient is φ = 9080832.

The previous prime is 33780749. The next prime is 33780779. The reversal of 33780768 is 86708733.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33780768² = 2282280573339648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9946 + ... + 12902.

It is an arithmetic number, because the mean of its divisors is an integer number (1118124).

Almost surely, 2^33780768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33780768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53669952).

33780768 is an abundant number, since it is smaller than the sum of its proper divisors (73559136).

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

33780768 is a wasteful number, since it uses less digits than its factorization.

33780768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2994 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 33780768 is about 5812.1225038707. The cubic root of 33780768 is about 323.2633775983.

The spelling of 33780768 in words is "thirty-three million, seven hundred eighty thousand, seven hundred sixty-eight".