3561855897600 has 4212 divisors, whose sum is σ = 17996693533728. Its totient is φ = 683193139200.

The previous prime is 3561855897559. The next prime is 3561855897683. The reversal of 3561855897600 is 67985581653.

3561855897600 is a `hidden beast` number, since 3 + 5 + 6 + 1 + 8 + 558 + 9 + 76 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4212).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 273988915194 + ... + 273988915206.

Almost surely, 2^{3561855897600} is an apocalyptic number.

3561855897600 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 3561855897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8998346766864).

3561855897600 is an abundant number, since it is smaller than the sum of its proper divisors (14434837636128).

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

3561855897600 is a wasteful number, since it uses less digits than its factorization.

3561855897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 3561855897600 in words is "three trillion, five hundred sixty-one billion, eight hundred fifty-five million, eight hundred ninety-seven thousand, six hundred".