3287489760 has 96 divisors (see below), whose sum is σ = 11506229280. Its totient is φ = 876662784.

The previous prime is 3287489749. The next prime is 3287489761. The reversal of 3287489760 is 679847823.

3287489760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3287489697 and 3287489706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3287489761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376177 + ... + 384816.

It is an arithmetic number, because the mean of its divisors is an integer number (119856555).

Almost surely, 2^3287489760 is an apocalyptic number.

3287489760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3287489760 is an abundant number, since it is smaller than the sum of its proper divisors (8218739520).

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

3287489760 is a wasteful number, since it uses less digits than its factorization.

3287489760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761017 (or 761003 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 3287489760 is about 57336.6354087855. The cubic root of 3287489760 is about 1486.9218256253.

The spelling of 3287489760 in words is "three billion, two hundred eighty-seven million, four hundred eighty-nine thousand, seven hundred sixty".