3541968 has 60 divisors (see below), whose sum is σ = 10291008. Its totient is φ = 1179360.

The previous prime is 3541957. The next prime is 3541987. The reversal of 3541968 is 8691453.

It is a super-3 number, since 3×3541968³ (a number of 21 digits) contains 333 as substring.

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

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, 3433 + ... + 4343.

Almost surely, 2^3541968 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 3541968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5145504).

3541968 is an abundant number, since it is smaller than the sum of its proper divisors (6749040).

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

3541968 is an equidigital number, since it uses as much as digits as its factorization.

3541968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 916 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 3541968 is about 1882.0116896555. The cubic root of 3541968 is about 152.4338941291.

The spelling of 3541968 in words is "three million, five hundred forty-one thousand, nine hundred sixty-eight".