34887648 has 96 divisors (see below), whose sum is σ = 99671040. Its totient is φ = 10644480.

The previous prime is 34887641. The next prime is 34887659. The reversal of 34887648 is 84678843.

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 (48).

Its product of digits (1032192) is a multiple of the sum of its prime divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 34887597 and 34887606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34887641) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 56236 + ... + 56852.

It is an arithmetic number, because the mean of its divisors is an integer number (1038240).

Almost surely, 2^34887648 is an apocalyptic number.

34887648 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 34887648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49835520).

34887648 is an abundant number, since it is smaller than the sum of its proper divisors (64783392).

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

34887648 is a wasteful number, since it uses less digits than its factorization.

34887648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 672 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 34887648 is about 5906.5766735056. The cubic root of 34887648 is about 326.7562455060.

The spelling of 34887648 in words is "thirty-four million, eight hundred eighty-seven thousand, six hundred forty-eight".