3558297600000 has 2304 divisors, whose sum is σ = 15653671225920. Its totient is φ = 796262400000.

The previous prime is 3558297599977. The next prime is 3558297600037. The reversal of 3558297600000 is 67928553.

It is a happy number.

3558297600000 is a `hidden beast` number, since 3 + 5 + 582 + 9 + 7 + 60 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×3558297600000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 273715199994 + ... + 273715200006.

Almost surely, 2^{3558297600000} is an apocalyptic number.

3558297600000 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 3558297600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7826835612960).

3558297600000 is an abundant number, since it is smaller than the sum of its proper divisors (12095373625920).

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

3558297600000 is an frugal number, since it uses more digits than its factorization.

3558297600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 3558297600000 in words is "three trillion, five hundred fifty-eight billion, two hundred ninety-seven million, six hundred thousand".