33972480 has 144 divisors (see below), whose sum is σ = 120677760. Its totient is φ = 9050112.

The previous prime is 33972479. The next prime is 33972487. The reversal of 33972480 is 8427933.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (33972487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34069 + ... + 35051.

It is an arithmetic number, because the mean of its divisors is an integer number (838040).

Almost surely, 2^33972480 is an apocalyptic number.

33972480 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 33972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60338880).

33972480 is an abundant number, since it is smaller than the sum of its proper divisors (86705280).

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

33972480 is an equidigital number, since it uses as much as digits as its factorization.

33972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 33972480 is about 5828.5915966038. The cubic root of 33972480 is about 323.8737505378.

The spelling of 33972480 in words is "thirty-three million, nine hundred seventy-two thousand, four hundred eighty".