35648480 has 72 divisors (see below), whose sum is σ = 97991208. Its totient is φ = 12219648.

The previous prime is 35648477. The next prime is 35648497. The reversal of 35648480 is 8484653.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5567 + ... + 10113.

It is an arithmetic number, because the mean of its divisors is an integer number (1360989).

Almost surely, 2^35648480 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 35648480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48995604).

35648480 is an abundant number, since it is smaller than the sum of its proper divisors (62342728).

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

35648480 is a wasteful number, since it uses less digits than its factorization.

35648480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4576 (or 4561 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 35648480 is about 5970.6348071206. The cubic root of 35648480 is about 329.1144916146.

The spelling of 35648480 in words is "thirty-five million, six hundred forty-eight thousand, four hundred eighty".