33972960 has 96 divisors (see below), whose sum is σ = 122314752. Its totient is φ = 7764480.

The previous prime is 33972943. The next prime is 33972971. The reversal of 33972960 is 6927933.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×33972960² = 2308324022323200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1696 + ... + 8415.

It is an arithmetic number, because the mean of its divisors is an integer number (1274112).

Almost surely, 2^33972960 is an apocalyptic number.

33972960 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 33972960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61157376).

33972960 is an abundant number, since it is smaller than the sum of its proper divisors (88341792).

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

33972960 is a wasteful number, since it uses less digits than its factorization.

33972960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10136 (or 10128 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 39.

The square root of 33972960 is about 5828.6327727864. The cubic root of 33972960 is about 323.8752758770.

The spelling of 33972960 in words is "thirty-three million, nine hundred seventy-two thousand, nine hundred sixty".