3287711633440 has 288 divisors, whose sum is σ = 8603449207920. Its totient is φ = 1180199559168.

The previous prime is 3287711633417. The next prime is 3287711633443. The reversal of 3287711633440 is 443361177823.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1703828974864 + 1583882658576 = 1305308^2 + 1258524^2 .

It is not an unprimeable number, because it can be changed into a prime (3287711633443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 880713814 + ... + 880717546.

Almost surely, 2^{3287711633440} 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 3287711633440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4301724603960).

3287711633440 is an abundant number, since it is smaller than the sum of its proper divisors (5315737574480).

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

3287711633440 is a wasteful number, since it uses less digits than its factorization.

3287711633440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

The spelling of 3287711633440 in words is "three trillion, two hundred eighty-seven billion, seven hundred eleven million, six hundred thirty-three thousand, four hundred forty".