3551427838400 has 168 divisors, whose sum is σ = 9543494739744. Its totient is φ = 1292826931200.

The previous prime is 3551427838393. The next prime is 3551427838417. The reversal of 3551427838400 is 48387241553.

It is a super-2 number, since 2×3551427838400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 274394 + ... + 2679206.

It is an arithmetic number, because the mean of its divisors is an integer number (56806516308).

Almost surely, 2^{3551427838400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3551427838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4771747369872).

3551427838400 is an abundant number, since it is smaller than the sum of its proper divisors (5992066901344).

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

3551427838400 is a wasteful number, since it uses less digits than its factorization.

3551427838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2404919 (or 2404904 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 50.

The spelling of 3551427838400 in words is "three trillion, five hundred fifty-one billion, four hundred twenty-seven million, eight hundred thirty-eight thousand, four hundred".