33947964 has 48 divisors (see below), whose sum is σ = 89473440. Its totient is φ = 11128320.

The previous prime is 33947939. The next prime is 33947987. The reversal of 33947964 is 46974933.

It is a super-3 number, since 3×33947964³ (a number of 24 digits) contains 333 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, 4012 + ... + 9164.

It is an arithmetic number, because the mean of its divisors is an integer number (1864030).

Almost surely, 2^33947964 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 33947964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44736720).

33947964 is an abundant number, since it is smaller than the sum of its proper divisors (55525476).

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

33947964 is a wasteful number, since it uses less digits than its factorization.

33947964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5227 (or 5219 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 33947964 is about 5826.4881360902. The cubic root of 33947964 is about 323.7958247225.

The spelling of 33947964 in words is "thirty-three million, nine hundred forty-seven thousand, nine hundred sixty-four".