33764952 has 64 divisors (see below), whose sum is σ = 93864960. Its totient is φ = 10051200.

The previous prime is 33764947. The next prime is 33764953. The reversal of 33764952 is 25946733.

It is a super-2 number, since 2×33764952² = 2280143967124608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 33764952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33764953) 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, 7927 + ... + 11417.

It is an arithmetic number, because the mean of its divisors is an integer number (1466640).

Almost surely, 2^33764952 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 33764952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46932480).

33764952 is an abundant number, since it is smaller than the sum of its proper divisors (60100008).

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

33764952 is a wasteful number, since it uses less digits than its factorization.

33764952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3544 (or 3540 counting only the distinct ones).

The product of its digits is 136080, while the sum is 39.

The square root of 33764952 is about 5810.7617400819. The cubic root of 33764952 is about 323.2129195812.

It can be divided in two parts, 33764 and 952, that added together give a triangular number (34716 = T₂₆₃).

The spelling of 33764952 in words is "thirty-three million, seven hundred sixty-four thousand, nine hundred fifty-two".