33785040 has 160 divisors (see below), whose sum is σ = 114278400. Its totient is φ = 8225280.

The previous prime is 33784991. The next prime is 33785041. The reversal of 33785040 is 4058733.

It is a super-2 number, since 2×33785040² = 2282857855603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 33784989 and 33785007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33785041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141241 + ... + 141479.

It is an arithmetic number, because the mean of its divisors is an integer number (714240).

Almost surely, 2^33785040 is an apocalyptic number.

33785040 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 33785040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57139200).

33785040 is an abundant number, since it is smaller than the sum of its proper divisors (80493360).

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

33785040 is a wasteful number, since it uses less digits than its factorization.

33785040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 33785040 is about 5812.4899999914. The cubic root of 33785040 is about 323.2770039211.

The spelling of 33785040 in words is "thirty-three million, seven hundred eighty-five thousand, forty".