35685420 has 96 divisors (see below), whose sum is σ = 109831680. Its totient is φ = 8616960.

The previous prime is 35685409. The next prime is 35685449. The reversal of 35685420 is 2458653.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 25540 + ... + 26900.

It is an arithmetic number, because the mean of its divisors is an integer number (1144080).

Almost surely, 2^35685420 is an apocalyptic number.

35685420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35685420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54915840).

35685420 is an abundant number, since it is smaller than the sum of its proper divisors (74146260).

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

35685420 is a wasteful number, since it uses less digits than its factorization.

35685420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 35685420 is about 5973.7274795558. The cubic root of 35685420 is about 329.2281317326.

The spelling of 35685420 in words is "thirty-five million, six hundred eighty-five thousand, four hundred twenty".