35353040 has 20 divisors (see below), whose sum is σ = 82196004. Its totient is φ = 14141184.

The previous prime is 35353027. The next prime is 35353049. The reversal of 35353040 is 4035353.

It can be written as a sum of positive squares in 2 ways, for example, as 11888704 + 23464336 = 3448^2 + 4844^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 35352997 and 35353015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35353049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 220877 + ... + 221036.

Almost surely, 2^35353040 is an apocalyptic number.

It is an amenable number.

35353040 is an abundant number, since it is smaller than the sum of its proper divisors (46842964).

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

35353040 is a wasteful number, since it uses less digits than its factorization.

35353040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441926 (or 441920 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 23.

The square root of 35353040 is about 5945.8422447959. The cubic root of 35353040 is about 328.2027796265.

Adding to 35353040 its reverse (4035353), we get a palindrome (39388393).

The spelling of 35353040 in words is "thirty-five million, three hundred fifty-three thousand, forty".