3561022080 has 1152 divisors, whose sum is σ = 16543388160. Its totient is φ = 696729600.

The previous prime is 3561022067. The next prime is 3561022097. The reversal of 3561022080 is 802201653.

3561022080 is a `hidden beast` number, since 3 + 561 + 0 + 2 + 20 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 96243822 + ... + 96243858.

It is an arithmetic number, because the mean of its divisors is an integer number (14360580).

Almost surely, 2^3561022080 is an apocalyptic number.

3561022080 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 3561022080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8271694080).

3561022080 is an abundant number, since it is smaller than the sum of its proper divisors (12982366080).

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

3561022080 is a wasteful number, since it uses less digits than its factorization.

3561022080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3561022080 is about 59674.2999958944. The cubic root of 3561022080 is about 1527.0674572608.

The spelling of 3561022080 in words is "three billion, five hundred sixty-one million, twenty-two thousand, eighty".