33864948 has 54 divisors (see below), whose sum is σ = 92531894. Its totient is φ = 10381248.

The previous prime is 33864937. The next prime is 33864967. The reversal of 33864948 is 84946833.

It can be written as a sum of positive squares in 3 ways, for example, as 3526884 + 30338064 = 1878^2 + 5508^2 .

It is a super-2 number, since 2×33864948² = 2293669406085408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 125758 + ... + 126026.

Almost surely, 2^33864948 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 33864948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46265947).

33864948 is an abundant number, since it is smaller than the sum of its proper divisors (58666946).

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

33864948 is a wasteful number, since it uses less digits than its factorization.

33864948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 287 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 33864948 is about 5819.3597585989. The cubic root of 33864948 is about 323.5316736345.

The spelling of 33864948 in words is "thirty-three million, eight hundred sixty-four thousand, nine hundred forty-eight".