33878142 has 32 divisors (see below), whose sum is σ = 76028160. Its totient is φ = 11181240.

The previous prime is 33878113. The next prime is 33878171. The reversal of 33878142 is 24187833.

It is an interprime number because it is at equal distance from previous prime (33878113) and next prime (33878171).

It is a super-2 number, since 2×33878142² = 2295457010744328, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33878097 and 33878106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2517 + ... + 8607.

It is an arithmetic number, because the mean of its divisors is an integer number (2375880).

Almost surely, 2^33878142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33878142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38014080).

33878142 is an abundant number, since it is smaller than the sum of its proper divisors (42150018).

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

33878142 is a wasteful number, since it uses less digits than its factorization.

33878142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6205 (or 6199 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 33878142 is about 5820.4932780650. The cubic root of 33878142 is about 323.5736848477.

The spelling of 33878142 in words is "thirty-three million, eight hundred seventy-eight thousand, one hundred forty-two".