3283343631360 has 880 divisors, whose sum is σ = 12710207017200. Its totient is φ = 805690146816.

The previous prime is 3283343631341. The next prime is 3283343631389. The reversal of 3283343631360 is 631363433823.

3283343631360 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 3 + 4 + 3 + 631 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 99088966656 + 3184254664704 = 314784^2 + 1784448^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2205065496 + ... + 2205066984.

It is an arithmetic number, because the mean of its divisors is an integer number (14443417065).

Almost surely, 2^{3283343631360} is an apocalyptic number.

3283343631360 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 3283343631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6355103508600).

3283343631360 is an abundant number, since it is smaller than the sum of its proper divisors (9426863385840).

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

3283343631360 is a wasteful number, since it uses less digits than its factorization.

3283343631360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 45.

The spelling of 3283343631360 in words is "three trillion, two hundred eighty-three billion, three hundred forty-three million, six hundred thirty-one thousand, three hundred sixty".