35000448 has 128 divisors (see below), whose sum is σ = 110160000. Its totient is φ = 9633792.

The previous prime is 35000447. The next prime is 35000453. The reversal of 35000448 is 84400053.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35000443) 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, 77728 + ... + 78176.

It is an arithmetic number, because the mean of its divisors is an integer number (860625).

Almost surely, 2^35000448 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 35000448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55080000).

35000448 is an abundant number, since it is smaller than the sum of its proper divisors (75159552).

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

35000448 is a wasteful number, since it uses less digits than its factorization.

35000448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 35000448 is about 5916.1176458891. The cubic root of 35000448 is about 327.1080266679.

The spelling of 35000448 in words is "thirty-five million, four hundred forty-eight", and thus it is an aban number.