3561533040 has 240 divisors, whose sum is σ = 12036381408. Its totient is φ = 870764544.

The previous prime is 3561533029. The next prime is 3561533081. The reversal of 3561533040 is 403351653.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3561532989 and 3561533007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11234962 + ... + 11235278.

Almost surely, 2^3561533040 is an apocalyptic number.

3561533040 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 3561533040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6018190704).

3561533040 is an abundant number, since it is smaller than the sum of its proper divisors (8474848368).

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

3561533040 is a wasteful number, since it uses less digits than its factorization.

3561533040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 3561533040 is about 59678.5810823280. The cubic root of 3561533040 is about 1527.1404918235.

Adding to 3561533040 its reverse (403351653), we get a palindrome (3964884693).

The spelling of 3561533040 in words is "three billion, five hundred sixty-one million, five hundred thirty-three thousand, forty".