3288410146560 has 1728 divisors, whose sum is σ = 14030172979200. Its totient is φ = 640712540160.

The previous prime is 3288410146537. The next prime is 3288410146613. The reversal of 3288410146560 is 656410148823.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7848234031 + ... + 7848234449.

Almost surely, 2^{3288410146560} is an apocalyptic number.

3288410146560 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 3288410146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7015086489600).

3288410146560 is an abundant number, since it is smaller than the sum of its proper divisors (10741762832640).

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

3288410146560 is a wasteful number, since it uses less digits than its factorization.

3288410146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 3288410146560 in words is "three trillion, two hundred eighty-eight billion, four hundred ten million, one hundred forty-six thousand, five hundred sixty".