3543965880 has 768 divisors, whose sum is σ = 14747443200. Its totient is φ = 661893120.

The previous prime is 3543965839. The next prime is 3543965903. The reversal of 3543965880 is 885693453.

It is a happy number.

It is a super-3 number, since 3×3543965880³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 114321465 + ... + 114321495.

It is an arithmetic number, because the mean of its divisors is an integer number (19202400).

Almost surely, 2^3543965880 is an apocalyptic number.

3543965880 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 3543965880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7373721600).

3543965880 is an abundant number, since it is smaller than the sum of its proper divisors (11203477320).

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

3543965880 is a wasteful number, since it uses less digits than its factorization.

3543965880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The square root of 3543965880 is about 59531.2176929046. The cubic root of 3543965880 is about 1524.6254932738.

The spelling of 3543965880 in words is "three billion, five hundred forty-three million, nine hundred sixty-five thousand, eight hundred eighty".