3541980 has 96 divisors (see below), whose sum is σ = 11289600. Its totient is φ = 822528.

The previous prime is 3541957. The next prime is 3541987. The reversal of 3541980 is 891453.

It is a super-3 number, since 3×3541980³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3541987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14701 + ... + 14939.

It is an arithmetic number, because the mean of its divisors is an integer number (117600).

Almost surely, 2^3541980 is an apocalyptic number.

3541980 is a gapful number since it is divisible by the number (30) 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 3541980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5644800).

3541980 is an abundant number, since it is smaller than the sum of its proper divisors (7747620).

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

3541980 is a wasteful number, since it uses less digits than its factorization.

3541980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 3541980 is about 1882.0148777308. The cubic root of 3541980 is about 152.4340662749.

The spelling of 3541980 in words is "three million, five hundred forty-one thousand, nine hundred eighty".