3381553210000 has 675 divisors, whose sum is σ = 9927901817757. Its totient is φ = 1112166720000.

The previous prime is 3381553209977. The next prime is 3381553210069. The reversal of 3381553210000 is 123551833.

The square root of 3381553210000 is 1838900.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1122760636816 + 2258792573184 = 1059604^2 + 1502928^2 .

It is a super-2 number, since 2×3381553210000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 47627509965 + ... + 47627510035.

Almost surely, 2^{3381553210000} is an apocalyptic number.

3381553210000 is the 1838900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3381553210000

3381553210000 is an abundant number, since it is smaller than the sum of its proper divisors (6546348607757).

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

3381553210000 is an frugal number, since it uses more digits than its factorization.

3381553210000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 3381553210000 its reverse (123551833), we get a palindrome (3381676761833).

The spelling of 3381553210000 in words is "three trillion, three hundred eighty-one billion, five hundred fifty-three million, two hundred ten thousand".