35719668 has 72 divisors (see below), whose sum is σ = 93424968. Its totient is φ = 11501568.

The previous prime is 35719661. The next prime is 35719681. The reversal of 35719668 is 86691753.

It is a happy number.

35719668 is nontrivially palindromic in base 5.

It can be written as a sum of positive squares in 4 ways, for example, as 4112784 + 31606884 = 2028^2 + 5622^2 .

It is a super-3 number, since 3×35719668³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35719661) 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, 184980 + ... + 185172.

It is an arithmetic number, because the mean of its divisors is an integer number (1297569).

Almost surely, 2^35719668 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 35719668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46712484).

35719668 is an abundant number, since it is smaller than the sum of its proper divisors (57705300).

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

35719668 is a wasteful number, since it uses less digits than its factorization.

35719668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 348 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 35719668 is about 5976.5933440381. The cubic root of 35719668 is about 329.3334202968. Note that the first 3 decimals are identical.

The spelling of 35719668 in words is "thirty-five million, seven hundred nineteen thousand, six hundred sixty-eight".