33872976 has 120 divisors (see below), whose sum is σ = 102107304. Its totient is φ = 10444800.

The previous prime is 33872941. The next prime is 33872977. The reversal of 33872976 is 67927833.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20034576 + 13838400 = 4476^2 + 3720^2 .

It is a super-2 number, since 2×33872976² = 2294757006193152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33872977) 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, 247180 + ... + 247316.

Almost surely, 2^33872976 is an apocalyptic number.

33872976 is a gapful number since it is divisible by the number (36) 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 33872976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51053652).

33872976 is an abundant number, since it is smaller than the sum of its proper divisors (68234328).

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

33872976 is a wasteful number, since it uses less digits than its factorization.

33872976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 260 counting only the distinct ones).

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

The square root of 33872976 is about 5820.0494843257. The cubic root of 33872976 is about 323.5572370092.

The spelling of 33872976 in words is "thirty-three million, eight hundred seventy-two thousand, nine hundred seventy-six".