33996780 has 96 divisors (see below), whose sum is σ = 106706880. Its totient is φ = 8985600.

The previous prime is 33996779. The next prime is 33996791. The reversal of 33996780 is 8769933.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84580 + ... + 84980.

It is an arithmetic number, because the mean of its divisors is an integer number (1111530).

Almost surely, 2^33996780 is an apocalyptic number.

33996780 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 33996780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53353440).

33996780 is an abundant number, since it is smaller than the sum of its proper divisors (72710100).

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

33996780 is a wasteful number, since it uses less digits than its factorization.

33996780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 33996780 is about 5830.6757755855. The cubic root of 33996780 is about 323.9509527951.

The spelling of 33996780 in words is "thirty-three million, nine hundred ninety-six thousand, seven hundred eighty".