3556269361920 has 2304 divisors, whose sum is σ = 14431035064320. Its totient is φ = 735746457600.

The previous prime is 3556269361871. The next prime is 3556269361921. The reversal of 3556269361920 is 291639626553.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (3556269361921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28002120897 + ... + 28002121023.

It is an arithmetic number, because the mean of its divisors is an integer number (6263470080).

Almost surely, 2^{3556269361920} is an apocalyptic number.

3556269361920 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 3556269361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7215517532160).

3556269361920 is an abundant number, since it is smaller than the sum of its proper divisors (10874765702400).

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

3556269361920 is a wasteful number, since it uses less digits than its factorization.

3556269361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 15746400, while the sum is 57.

The spelling of 3556269361920 in words is "three trillion, five hundred fifty-six billion, two hundred sixty-nine million, three hundred sixty-one thousand, nine hundred twenty".