33960972 has 48 divisors (see below), whose sum is σ = 85559040. Its totient is φ = 10452288.

The previous prime is 33960959. The next prime is 33960973. The reversal of 33960972 is 27906933.

It is a super-3 number, since 3×33960972³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33960972.

It is not an unprimeable number, because it can be changed into a prime (33960973) 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, 5883 + ... + 10125.

It is an arithmetic number, because the mean of its divisors is an integer number (1782480).

Almost surely, 2^33960972 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 33960972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42779520).

33960972 is an abundant number, since it is smaller than the sum of its proper divisors (51598068).

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

33960972 is a wasteful number, since it uses less digits than its factorization.

33960972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4302 (or 4300 counting only the distinct ones).

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

The square root of 33960972 is about 5827.6043105207. The cubic root of 33960972 is about 323.8371762278.

The spelling of 33960972 in words is "thirty-three million, nine hundred sixty thousand, nine hundred seventy-two".