35253968 has 40 divisors (see below), whose sum is σ = 72763200. Its totient is φ = 16498944.

The previous prime is 35253947. The next prime is 35253989. The reversal of 35253968 is 86935253.

35253968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (35253947) and next prime (35253989).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26405 + ... + 27707.

It is an arithmetic number, because the mean of its divisors is an integer number (1819080).

Almost surely, 2^35253968 is an apocalyptic number.

35253968 is a gapful number since it is divisible by the number (38) 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 35253968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36381600).

35253968 is an abundant number, since it is smaller than the sum of its proper divisors (37509232).

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

35253968 is a wasteful number, since it uses less digits than its factorization.

35253968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1413 counting only the distinct ones).

The product of its digits is 194400, while the sum is 41.

The square root of 35253968 is about 5937.5051999977. The cubic root of 35253968 is about 327.8959118460.

The spelling of 35253968 in words is "thirty-five million, two hundred fifty-three thousand, nine hundred sixty-eight".