3288284160 has 528 divisors, whose sum is σ = 13004574624. Its totient is φ = 704643072.

The previous prime is 3288284137. The next prime is 3288284183. The reversal of 3288284160 is 614828823.

It is a happy number.

3288284160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3288284137) and next prime (3288284183).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12794752 + ... + 12795008.

Almost surely, 2^3288284160 is an apocalyptic number.

3288284160 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 3288284160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6502287312).

3288284160 is an abundant number, since it is smaller than the sum of its proper divisors (9716290464).

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

3288284160 is a wasteful number, since it uses less digits than its factorization.

3288284160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 3288284160 is about 57343.5624983311. The cubic root of 3288284160 is about 1487.0415842307.

The spelling of 3288284160 in words is "three billion, two hundred eighty-eight million, two hundred eighty-four thousand, one hundred sixty".