3355011541200 has 960 divisors, whose sum is σ = 12884812462080. Its totient is φ = 737289216000.

The previous prime is 3355011541199. The next prime is 3355011541249. The reversal of 3355011541200 is 21451105533.

It is a super-2 number, since 2×3355011541200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 191 ways as a sum of consecutive naturals, for example, 566052637 + ... + 566058563.

It is an arithmetic number, because the mean of its divisors is an integer number (13421679648).

Almost surely, 2^{3355011541200} is an apocalyptic number.

3355011541200 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 3355011541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6442406231040).

3355011541200 is an abundant number, since it is smaller than the sum of its proper divisors (9529800920880).

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

3355011541200 is a wasteful number, since it uses less digits than its factorization.

3355011541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6076 (or 6065 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 3355011541200 its reverse (21451105533), we get a palindrome (3376462646733).

The spelling of 3355011541200 in words is "three trillion, three hundred fifty-five billion, eleven million, five hundred forty-one thousand, two hundred".