35485840 has 80 divisors (see below), whose sum is σ = 89838000. Its totient is φ = 12957696.

The previous prime is 35485837. The next prime is 35485841. The reversal of 35485840 is 4858453.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1752976 + 33732864 = 1324^2 + 5808^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 35485840.

It is not an unprimeable number, because it can be changed into a prime (35485841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154846 + ... + 155074.

It is an arithmetic number, because the mean of its divisors is an integer number (1122975).

Almost surely, 2^35485840 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 35485840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44919000).

35485840 is an abundant number, since it is smaller than the sum of its proper divisors (54352160).

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

35485840 is a wasteful number, since it uses less digits than its factorization.

35485840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 35485840 is about 5956.9992445862. Note that the first 3 decimals coincide. The cubic root of 35485840 is about 328.6132192771.

The spelling of 35485840 in words is "thirty-five million, four hundred eighty-five thousand, eight hundred forty".