33858216 has 128 divisors (see below), whose sum is σ = 109920000. Its totient is φ = 9652608.

The previous prime is 33858211. The next prime is 33858217. The reversal of 33858216 is 61285833.

It is a super-2 number, since 2×33858216² = 2292757581405312, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33858211) 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, 73860 + ... + 74316.

It is an arithmetic number, because the mean of its divisors is an integer number (858750).

Almost surely, 2^33858216 is an apocalyptic number.

33858216 is a gapful number since it is divisible by the number (36) 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 33858216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54960000).

33858216 is an abundant number, since it is smaller than the sum of its proper divisors (76061784).

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

33858216 is a wasteful number, since it uses less digits than its factorization.

33858216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 469 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 33858216 is about 5818.7813157052. The cubic root of 33858216 is about 323.5102339681.

33858216 divided by its sum of digits (36) gives a triangular number (940506 = T₁₃₇₁).

The spelling of 33858216 in words is "thirty-three million, eight hundred fifty-eight thousand, two hundred sixteen".