33538340 has 48 divisors (see below), whose sum is σ = 77402304. Its totient is φ = 12105600.

The previous prime is 33538339. The next prime is 33538343. The reversal of 33538340 is 4383533.

It is a super-2 number, since 2×33538340² = 2249640499911200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33538343) 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, 34055 + ... + 35025.

It is an arithmetic number, because the mean of its divisors is an integer number (1612548).

Almost surely, 2^33538340 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 33538340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38701152).

33538340 is an abundant number, since it is smaller than the sum of its proper divisors (43863964).

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

33538340 is a wasteful number, since it uses less digits than its factorization.

33538340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 33538340 is about 5791.2295758328. The cubic root of 33538340 is about 322.4882194283.

The spelling of 33538340 in words is "thirty-three million, five hundred thirty-eight thousand, three hundred forty".