33978672 has 120 divisors (see below), whose sum is σ = 117082784. Its totient is φ = 8957952.

The previous prime is 33978619. The next prime is 33978677. The reversal of 33978672 is 27687933.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (33978677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11808 + ... + 14400.

Almost surely, 2^33978672 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 33978672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58541392).

33978672 is an abundant number, since it is smaller than the sum of its proper divisors (83104112).

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

33978672 is a wasteful number, since it uses less digits than its factorization.

33978672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627 (or 2618 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 33978672 is about 5829.1227470349. The cubic root of 33978672 is about 323.8934263110.

The spelling of 33978672 in words is "thirty-three million, nine hundred seventy-eight thousand, six hundred seventy-two".