35444960 has 48 divisors (see below), whose sum is σ = 86637600. Its totient is φ = 13687296.

The previous prime is 35444957. The next prime is 35444971. The reversal of 35444960 is 6944453.

It is a self number, because there is not a number n which added to its sum of digits gives 35444960.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 821 + ... + 8459.

It is an arithmetic number, because the mean of its divisors is an integer number (1804950).

Almost surely, 2^35444960 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 35444960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43318800).

35444960 is an abundant number, since it is smaller than the sum of its proper divisors (51192640).

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

35444960 is a wasteful number, since it uses less digits than its factorization.

35444960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7683 (or 7675 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 35444960 is about 5953.5669980273. The cubic root of 35444960 is about 328.4869823491.

The spelling of 35444960 in words is "thirty-five million, four hundred forty-four thousand, nine hundred sixty".