3280032288 has 72 divisors (see below), whose sum is σ = 10045110348. Its totient is φ = 1009239552.

The previous prime is 3280032271. The next prime is 3280032293. The reversal of 3280032288 is 8822300823.

3280032288 is a `hidden beast` number, since 328 + 0 + 0 + 322 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3223059984 + 56972304 = 56772^2 + 7548^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3280032288² = 21517223620645029888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 434295 + ... + 441782.

Almost surely, 2^3280032288 is an apocalyptic number.

It is an amenable number.

3280032288 is an abundant number, since it is smaller than the sum of its proper divisors (6765078060).

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

3280032288 is a wasteful number, since it uses less digits than its factorization.

3280032288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876106 (or 876095 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3280032288 is about 57271.5661388791. The cubic root of 3280032288 is about 1485.7966436031.

The spelling of 3280032288 in words is "three billion, two hundred eighty million, thirty-two thousand, two hundred eighty-eight".