3543678720 has 216 divisors, whose sum is σ = 12715977456. Its totient is φ = 944898048.

The previous prime is 3543678689. The next prime is 3543678791. The reversal of 3543678720 is 278763453.

3543678720 is a `hidden beast` number, since 3 + 543 + 6 + 7 + 87 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305344 + ... + 316736.

It is an arithmetic number, because the mean of its divisors is an integer number (58870266).

Almost surely, 2^3543678720 is an apocalyptic number.

3543678720 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 3543678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6357988728).

3543678720 is an abundant number, since it is smaller than the sum of its proper divisors (9172298736).

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

3543678720 is an equidigital number, since it uses as much as digits as its factorization.

3543678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11429 (or 11403 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 3543678720 is about 59528.8058002174. The cubic root of 3543678720 is about 1524.5843131104.

The spelling of 3543678720 in words is "three billion, five hundred forty-three million, six hundred seventy-eight thousand, seven hundred twenty".