3561252480 has 448 divisors, whose sum is σ = 13545549000. Its totient is φ = 891813888.

The previous prime is 3561252433. The next prime is 3561252481. The reversal of 3561252480 is 842521653.

3561252480 is a `hidden beast` number, since 3 + 56 + 1 + 2 + 524 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3326059584 + 235192896 = 57672^2 + 15336^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3561252481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7931296 + ... + 7931744.

Almost surely, 2^3561252480 is an apocalyptic number.

3561252480 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 3561252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6772774500).

3561252480 is an abundant number, since it is smaller than the sum of its proper divisors (9984296520).

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

3561252480 is an equidigital number, since it uses as much as digits as its factorization.

3561252480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 3561252480 is about 59676.2304439548. The cubic root of 3561252480 is about 1527.1003905729.

The spelling of 3561252480 in words is "three billion, five hundred sixty-one million, two hundred fifty-two thousand, four hundred eighty".