3553613222400 has 720 divisors, whose sum is σ = 12864850846848. Its totient is φ = 936714240000.

The previous prime is 3553613222347. The next prime is 3553613222413. The reversal of 3553613222400 is 42223163553.

3553613222400 is a `hidden beast` number, since 3 + 55 + 361 + 3 + 2 + 2 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3553613222400² (a number of 26 digits) contains 22 as substring.

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

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 71 ways as a sum of consecutive naturals, for example, 4888050837 + ... + 4888051563.

Almost surely, 2^{3553613222400} is an apocalyptic number.

3553613222400 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 3553613222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6432425423424).

3553613222400 is an abundant number, since it is smaller than the sum of its proper divisors (9311237624448).

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

3553613222400 is a wasteful number, since it uses less digits than its factorization.

3553613222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 3553613222400 its reverse (42223163553), we get a palindrome (3595836385953).

The spelling of 3553613222400 in words is "three trillion, five hundred fifty-three billion, six hundred thirteen million, two hundred twenty-two thousand, four hundred".