3288757680 has 320 divisors, whose sum is σ = 12287963520. Its totient is φ = 803672064.

The previous prime is 3288757631. The next prime is 3288757687. The reversal of 3288757680 is 867578823.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3288757687) 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 63 ways as a sum of consecutive naturals, for example, 4857502 + ... + 4858178.

It is an arithmetic number, because the mean of its divisors is an integer number (38399886).

Almost surely, 2^3288757680 is an apocalyptic number.

3288757680 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 3288757680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143981760).

3288757680 is an abundant number, since it is smaller than the sum of its proper divisors (8999205840).

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

3288757680 is a wasteful number, since it uses less digits than its factorization.

3288757680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 3288757680 is about 57347.6911479442. The cubic root of 3288757680 is about 1487.1129598682.

The spelling of 3288757680 in words is "three billion, two hundred eighty-eight million, seven hundred fifty-seven thousand, six hundred eighty".