33876342 has 48 divisors (see below), whose sum is σ = 78343200. Its totient is φ = 10542336.

The previous prime is 33876329. The next prime is 33876347. The reversal of 33876342 is 24367833.

It is a super-2 number, since 2×33876342² = 2295213094601928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33876297 and 33876306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33876347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45223 + ... + 45965.

It is an arithmetic number, because the mean of its divisors is an integer number (1632150).

Almost surely, 2^33876342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33876342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39171600).

33876342 is an abundant number, since it is smaller than the sum of its proper divisors (44466858).

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

33876342 is a wasteful number, since it uses less digits than its factorization.

33876342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 914 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 33876342 is about 5820.3386499413. The cubic root of 33876342 is about 323.5679540833.

The spelling of 33876342 in words is "thirty-three million, eight hundred seventy-six thousand, three hundred forty-two".