33538860 has 144 divisors (see below), whose sum is σ = 108116736. Its totient is φ = 8724672.

The previous prime is 33538859. The next prime is 33538867. The reversal of 33538860 is 6883533.

It is a super-2 number, since 2×33538860² = 2249710260199200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (33538867) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325569 + ... + 325671.

Almost surely, 2^33538860 is an apocalyptic number.

33538860 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33538860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54058368).

33538860 is an abundant number, since it is smaller than the sum of its proper divisors (74577876).

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

33538860 is a wasteful number, since it uses less digits than its factorization.

33538860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 33538860 is about 5791.2744711333. The cubic root of 33538860 is about 322.4898861079.

The spelling of 33538860 in words is "thirty-three million, five hundred thirty-eight thousand, eight hundred sixty".