33764816 has 40 divisors (see below), whose sum is σ = 69002280. Its totient is φ = 15981056.

The previous prime is 33764791. The next prime is 33764833. The reversal of 33764816 is 61846733.

It can be written as a sum of positive squares in 4 ways, for example, as 19324816 + 14440000 = 4396^2 + 3800^2 .

It is a super-2 number, since 2×33764816² = 2280125599027712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33764816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23906 + ... + 25278.

It is an arithmetic number, because the mean of its divisors is an integer number (1725057).

Almost surely, 2^33764816 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 33764816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34501140).

33764816 is an abundant number, since it is smaller than the sum of its proper divisors (35237464).

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

33764816 is a wasteful number, since it uses less digits than its factorization.

33764816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1457 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 33764816 is about 5810.7500376457. The cubic root of 33764816 is about 323.2124856301.

It can be divided in two parts, 3376 and 4816, that added together give a 13-th power (8192 = 2¹³).

The spelling of 33764816 in words is "thirty-three million, seven hundred sixty-four thousand, eight hundred sixteen".