3561824160 has 576 divisors, whose sum is σ = 13512635136. Its totient is φ = 851558400.

The previous prime is 3561824141. The next prime is 3561824191. The reversal of 3561824160 is 614281653.

It is a happy number.

3561824160 is a `hidden beast` number, since 3 + 5 + 618 + 24 + 16 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58390530 + ... + 58390590.

It is an arithmetic number, because the mean of its divisors is an integer number (23459436).

Almost surely, 2^3561824160 is an apocalyptic number.

3561824160 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 3561824160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6756317568).

3561824160 is an abundant number, since it is smaller than the sum of its proper divisors (9950810976).

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

3561824160 is a wasteful number, since it uses less digits than its factorization.

3561824160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3561824160 is about 59681.0200985204. The cubic root of 3561824160 is about 1527.1821002192.

The spelling of 3561824160 in words is "three billion, five hundred sixty-one million, eight hundred twenty-four thousand, one hundred sixty".