33801352 has 48 divisors (see below), whose sum is σ = 71677440. Its totient is φ = 14908608.

The previous prime is 33801347. The next prime is 33801373. The reversal of 33801352 is 25310833.

It is a super-2 number, since 2×33801352² = 2285062794055808, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30553 + ... + 31639.

It is an arithmetic number, because the mean of its divisors is an integer number (1493280).

Almost surely, 2^33801352 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 33801352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35838720).

33801352 is an abundant number, since it is smaller than the sum of its proper divisors (37876088).

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

33801352 is a wasteful number, since it uses less digits than its factorization.

33801352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 33801352 is about 5813.8930158716. The cubic root of 33801352 is about 323.3290234543.

The spelling of 33801352 in words is "thirty-three million, eight hundred one thousand, three hundred fifty-two".