33694340 has 48 divisors (see below), whose sum is σ = 75669552. Its totient is φ = 12558336.

The previous prime is 33694337. The next prime is 33694343. The reversal of 33694340 is 4349633.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (33694337) and next prime (33694343).

It can be written as a sum of positive squares in 8 ways, for example, as 123904 + 33570436 = 352^2 + 5794^2 .

It is a super-2 number, since 2×33694340² = 2270617096071200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33694297 and 33694306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33694343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37982 + ... + 38858.

It is an arithmetic number, because the mean of its divisors is an integer number (1576449).

Almost surely, 2^33694340 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 33694340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37834776).

33694340 is an abundant number, since it is smaller than the sum of its proper divisors (41975212).

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

33694340 is a wasteful number, since it uses less digits than its factorization.

33694340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 32.

The square root of 33694340 is about 5804.6825925282. The cubic root of 33694340 is about 322.9874526656.

The spelling of 33694340 in words is "thirty-three million, six hundred ninety-four thousand, three hundred forty".