35487936 has 112 divisors (see below), whose sum is σ = 113873280. Its totient is φ = 10748160.

The previous prime is 35487913. The next prime is 35487937. The reversal of 35487936 is 63978453.

35487936 is a `hidden beast` number, since 3 + 548 + 79 + 36 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 35487891 and 35487900.

It is not an unprimeable number, because it can be changed into a prime (35487937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18075 + ... + 19941.

Almost surely, 2^35487936 is an apocalyptic number.

35487936 is a gapful number since it is divisible by the number (36) 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 35487936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56936640).

35487936 is an abundant number, since it is smaller than the sum of its proper divisors (78385344).

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

35487936 is a wasteful number, since it uses less digits than its factorization.

35487936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1883 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 35487936 is about 5957.1751694910. The cubic root of 35487936 is about 328.6196890854.

The spelling of 35487936 in words is "thirty-five million, four hundred eighty-seven thousand, nine hundred thirty-six".