33379164 has 144 divisors (see below), whose sum is σ = 108605952. Its totient is φ = 8401536.

The previous prime is 33379163. The next prime is 33379169. The reversal of 33379164 is 46197333.

It is a super-2 number, since 2×33379164² = 2228337178677792, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33379163) 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, 75127 + ... + 75569.

It is an arithmetic number, because the mean of its divisors is an integer number (754208).

Almost surely, 2^33379164 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 33379164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54302976).

33379164 is an abundant number, since it is smaller than the sum of its proper divisors (75226788).

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

33379164 is a wasteful number, since it uses less digits than its factorization.

33379164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 491 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 33379164 is about 5777.4703807116. The cubic root of 33379164 is about 321.9772240619.

It can be divided in two parts, 333 and 79164, that added together give a palindrome (79497).

The spelling of 33379164 in words is "thirty-three million, three hundred seventy-nine thousand, one hundred sixty-four".