35395056 has 100 divisors (see below), whose sum is σ = 105868224. Its totient is φ = 11404800.

The previous prime is 35394973. The next prime is 35395057. The reversal of 35395056 is 65059353.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 35395056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35395057) 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 19 ways as a sum of consecutive naturals, for example, 39736 + ... + 40616.

Almost surely, 2^35395056 is an apocalyptic number.

35395056 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 35395056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52934112).

35395056 is an abundant number, since it is smaller than the sum of its proper divisors (70473168).

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

35395056 is a wasteful number, since it uses less digits than its factorization.

35395056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 60750, while the sum is 36.

The square root of 35395056 is about 5949.3744208950. The cubic root of 35395056 is about 328.3327477866.

The spelling of 35395056 in words is "thirty-five million, three hundred ninety-five thousand, fifty-six".