3287148480 has 896 divisors, whose sum is σ = 14876190720. Its totient is φ = 671846400.

The previous prime is 3287148461. The next prime is 3287148481. The reversal of 3287148480 is 848417823.

3287148480 is a `hidden beast` number, since 3 + 28 + 7 + 148 + 480 = 666.

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 (3287148481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53887650 + ... + 53887710.

Almost surely, 2^3287148480 is an apocalyptic number.

3287148480 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 3287148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7438095360).

3287148480 is an abundant number, since it is smaller than the sum of its proper divisors (11589042240).

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

3287148480 is an equidigital number, since it uses as much as digits as its factorization.

3287148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 3287148480 is about 57333.6592238800. The cubic root of 3287148480 is about 1486.8703705356.

The spelling of 3287148480 in words is "three billion, two hundred eighty-seven million, one hundred forty-eight thousand, four hundred eighty".