35345268 has 72 divisors (see below), whose sum is σ = 106612800. Its totient is φ = 10097136.

The previous prime is 35345267. The next prime is 35345281. The reversal of 35345268 is 86254353.

It is a happy number.

35345268 is a `hidden beast` number, since 353 + 45 + 268 = 666.

35345268 is nontrivially palindromic in base 5.

35345268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35345267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1953 + ... + 8631.

Almost surely, 2^35345268 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 35345268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53306400).

35345268 is an abundant number, since it is smaller than the sum of its proper divisors (71267532).

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

35345268 is a wasteful number, since it uses less digits than its factorization.

35345268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6706 (or 6691 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 35345268 is about 5945.1886429280. The cubic root of 35345268 is about 328.1787272022.

The spelling of 35345268 in words is "thirty-five million, three hundred forty-five thousand, two hundred sixty-eight".