3288781440 has 896 divisors, whose sum is σ = 14448585600. Its totient is φ = 698720256.

The previous prime is 3288781373. The next prime is 3288781469. The reversal of 3288781440 is 441878823.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 62052454 + ... + 62052506.

Almost surely, 2^3288781440 is an apocalyptic number.

3288781440 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 3288781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7224292800).

3288781440 is an abundant number, since it is smaller than the sum of its proper divisors (11159804160).

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

3288781440 is an equidigital number, since it uses as much as digits as its factorization.

3288781440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

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

The square root of 3288781440 is about 57347.8983049946. The cubic root of 3288781440 is about 1487.1165411312.

The spelling of 3288781440 in words is "three billion, two hundred eighty-eight million, seven hundred eighty-one thousand, four hundred forty".