3558396441600 has 4224 divisors, whose sum is σ = 18148905062400. Its totient is φ = 659305267200.

The previous prime is 3558396441599. The next prime is 3558396441601. The reversal of 3558396441600 is 61446938553.

3558396441600 is a `hidden beast` number, since 3 + 5 + 58 + 3 + 96 + 441 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3558396441599) and next prime (3558396441601).

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3558396441601) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25599974331 + ... + 25599974469.

Almost surely, 2^{3558396441600} is an apocalyptic number.

3558396441600 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 3558396441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9074452531200).

3558396441600 is an abundant number, since it is smaller than the sum of its proper divisors (14590508620800).

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

3558396441600 is a wasteful number, since it uses less digits than its factorization.

3558396441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 3558396441600 in words is "three trillion, five hundred fifty-eight billion, three hundred ninety-six million, four hundred forty-one thousand, six hundred".