35685040 has 80 divisors (see below), whose sum is σ = 92538720. Its totient is φ = 12718080.

The previous prime is 35685037. The next prime is 35685043. The reversal of 35685040 is 4058653.

It is an interprime number because it is at equal distance from previous prime (35685037) and next prime (35685043).

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

It is a junction number, because it is equal to n+sod(n) for n = 35684993 and 35685011.

It is not an unprimeable number, because it can be changed into a prime (35685043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25150 + ... + 26530.

It is an arithmetic number, because the mean of its divisors is an integer number (1156734).

Almost surely, 2^35685040 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 35685040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46269360).

35685040 is an abundant number, since it is smaller than the sum of its proper divisors (56853680).

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

35685040 is a wasteful number, since it uses less digits than its factorization.

35685040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 35685040 is about 5973.6956735341. The cubic root of 35685040 is about 329.2269631215.

The spelling of 35685040 in words is "thirty-five million, six hundred eighty-five thousand, forty".