3288089376 has 288 divisors, whose sum is σ = 11395919808. Its totient is φ = 919434240.

The previous prime is 3288089359. The next prime is 3288089437. The reversal of 3288089376 is 6739808823.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1110490 + ... + 1113446.

It is an arithmetic number, because the mean of its divisors is an integer number (39569166).

Almost surely, 2^3288089376 is an apocalyptic number.

3288089376 is a gapful number since it is divisible by the number (36) 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 3288089376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5697959904).

3288089376 is an abundant number, since it is smaller than the sum of its proper divisors (8107830432).

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

3288089376 is a wasteful number, since it uses less digits than its factorization.

3288089376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3006 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 3288089376 is about 57341.8640785247. The cubic root of 3288089376 is about 1487.0122216399.

The spelling of 3288089376 in words is "three billion, two hundred eighty-eight million, eighty-nine thousand, three hundred seventy-six".