33842768 has 20 divisors (see below), whose sum is σ = 67832340. Its totient is φ = 16337664.

The previous prime is 33842737. The next prime is 33842803. The reversal of 33842768 is 86724833.

It can be written as a sum of positive squares in 2 ways, for example, as 26915344 + 6927424 = 5188^2 + 2632^2 .

It is a super-2 number, since 2×33842768² = 2290665891803648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36005 + ... + 36932.

It is an arithmetic number, because the mean of its divisors is an integer number (3391617).

Almost surely, 2^33842768 is an apocalyptic number.

It is an amenable number.

33842768 is an abundant number, since it is smaller than the sum of its proper divisors (33989572).

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

33842768 is a wasteful number, since it uses less digits than its factorization.

33842768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72974 (or 72968 counting only the distinct ones).

The product of its digits is 193536, while the sum is 41.

The square root of 33842768 is about 5817.4537385354. The cubic root of 33842768 is about 323.4610253669.

The spelling of 33842768 in words is "thirty-three million, eight hundred forty-two thousand, seven hundred sixty-eight".