35480448 has 96 divisors (see below), whose sum is σ = 107538600. Its totient is φ = 11197440.

The previous prime is 35480443. The next prime is 35480483. The reversal of 35480448 is 84408453.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35480443) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21078 + ... + 22698.

Almost surely, 2^35480448 is an apocalyptic number.

35480448 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 35480448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53769300).

35480448 is an abundant number, since it is smaller than the sum of its proper divisors (72058152).

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

35480448 is a wasteful number, since it uses less digits than its factorization.

35480448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 35480448 is about 5956.5466505350. The cubic root of 35480448 is about 328.5965744010.

The spelling of 35480448 in words is "thirty-five million, four hundred eighty thousand, four hundred forty-eight".