3487968 has 96 divisors (see below), whose sum is σ = 11128320. Its totient is φ = 1054080.

The previous prime is 3487961. The next prime is 3487987. The reversal of 3487968 is 8697843.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3487961) 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, 9321 + ... + 9687.

It is an arithmetic number, because the mean of its divisors is an integer number (115920).

Almost surely, 2^3487968 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 3487968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5564160).

3487968 is an abundant number, since it is smaller than the sum of its proper divisors (7640352).

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

3487968 is a wasteful number, since it uses less digits than its factorization.

3487968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 383 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 3487968 is about 1867.6102377102. The cubic root of 3487968 is about 151.6552667571.

The spelling of 3487968 in words is "three million, four hundred eighty-seven thousand, nine hundred sixty-eight".