3288284556480 has 672 divisors, whose sum is σ = 14714307099648. Its totient is φ = 653571072000.

The previous prime is 3288284556451. The next prime is 3288284556499. The reversal of 3288284556480 is 846554828823.

It is a happy number.

3288284556480 is a `hidden beast` number, since 3 + 2 + 8 + 8 + 28 + 45 + 564 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4778130 + ... + 5422830.

Almost surely, 2^{3288284556480} is an apocalyptic number.

3288284556480 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 3288284556480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7357153549824).

3288284556480 is an abundant number, since it is smaller than the sum of its proper divisors (11426022543168).

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

3288284556480 is a wasteful number, since it uses less digits than its factorization.

3288284556480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644765 (or 644752 counting only the distinct ones).

The product of its (nonzero) digits is 117964800, while the sum is 63.

The spelling of 3288284556480 in words is "three trillion, two hundred eighty-eight billion, two hundred eighty-four million, five hundred fifty-six thousand, four hundred eighty".