33768300 has 72 divisors (see below), whose sum is σ = 100882432. Its totient is φ = 8712000.

The previous prime is 33768299. The next prime is 33768311. The reversal of 33768300 is 386733.

It is a happy number.

It is a super-2 number, since 2×33768300² = 2280596169780000, which contains 22 as substring.

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

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, 7485 + ... + 11115.

Almost surely, 2^33768300 is an apocalyptic number.

33768300 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 33768300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50441216).

33768300 is an abundant number, since it is smaller than the sum of its proper divisors (67114132).

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

33768300 is a wasteful number, since it uses less digits than its factorization.

33768300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3679 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 33768300 is about 5811.0498190947. The cubic root of 33768300 is about 323.2236020693.

The spelling of 33768300 in words is "thirty-three million, seven hundred sixty-eight thousand, three hundred".