33672744 has 96 divisors (see below), whose sum is σ = 105805440. Its totient is φ = 9475200.

The previous prime is 33672739. The next prime is 33672763. The reversal of 33672744 is 44727633.

It is a happy number.

It is a super-2 number, since 2×33672744² = 2267707376979072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 33672699 and 33672708.

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, 35314 + ... + 36254.

It is an arithmetic number, because the mean of its divisors is an integer number (1102140).

Almost surely, 2^33672744 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 33672744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52902720).

33672744 is an abundant number, since it is smaller than the sum of its proper divisors (72132696).

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

33672744 is a wasteful number, since it uses less digits than its factorization.

33672744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1024 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 33672744 is about 5802.8220720611. The cubic root of 33672744 is about 322.9184328857.

The spelling of 33672744 in words is "thirty-three million, six hundred seventy-two thousand, seven hundred forty-four".