35957136 has 40 divisors (see below), whose sum is σ = 93770784. Its totient is φ = 11872000.

The previous prime is 35957113. The next prime is 35957167. The reversal of 35957136 is 63175953.

It is a junction number, because it is equal to n+sod(n) for n = 35957094 and 35957103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1636 + ... + 8636.

Almost surely, 2^35957136 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 35957136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46885392).

35957136 is an abundant number, since it is smaller than the sum of its proper divisors (57813648).

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

35957136 is a wasteful number, since it uses less digits than its factorization.

35957136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7119 (or 7113 counting only the distinct ones).

The product of its digits is 85050, while the sum is 39.

The square root of 35957136 is about 5996.4269361012. The cubic root of 35957136 is about 330.0616230191.

It can be divided in two parts, 3595 and 7136, that added together give a triangular number (10731 = T₁₄₆).

The spelling of 35957136 in words is "thirty-five million, nine hundred fifty-seven thousand, one hundred thirty-six".