3287681460 has 360 divisors, whose sum is σ = 12166308000. Its totient is φ = 740928384.

The previous prime is 3287681429. The next prime is 3287681461. The reversal of 3287681460 is 641867823.

3287681460 is a `hidden beast` number, since 32 + 87 + 6 + 81 + 460 = 666.

3287681460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3287681461) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6588291 + ... + 6588789.

It is an arithmetic number, because the mean of its divisors is an integer number (33795300).

Almost surely, 2^3287681460 is an apocalyptic number.

3287681460 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 3287681460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6083154000).

3287681460 is an abundant number, since it is smaller than the sum of its proper divisors (8878626540).

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

3287681460 is a wasteful number, since it uses less digits than its factorization.

3287681460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3287681460 is about 57338.3070904609. The cubic root of 3287681460 is about 1486.9507268432.

The spelling of 3287681460 in words is "three billion, two hundred eighty-seven million, six hundred eighty-one thousand, four hundred sixty".