34368642 has 96 divisors (see below), whose sum is σ = 94034304. Its totient is φ = 8812800.

The previous prime is 34368623. The next prime is 34368643. The reversal of 34368642 is 24686343.

It is a happy number.

34368642 is a `hidden beast` number, since 3 + 4 + 3 + 6 + 8 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 34368597 and 34368606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34368643) 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, 189792 + ... + 189972.

It is an arithmetic number, because the mean of its divisors is an integer number (979524).

Almost surely, 2^34368642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34368642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47017152).

34368642 is an abundant number, since it is smaller than the sum of its proper divisors (59665662).

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

34368642 is a wasteful number, since it uses less digits than its factorization.

34368642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 341 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 34368642 is about 5862.4774626432. The cubic root of 34368642 is about 325.1278140273.

The spelling of 34368642 in words is "thirty-four million, three hundred sixty-eight thousand, six hundred forty-two".