3289008240 has 400 divisors, whose sum is σ = 13481994240. Its totient is φ = 727211520.

The previous prime is 3289008199. The next prime is 3289008251. The reversal of 3289008240 is 428009823.

3289008240 is a `hidden beast` number, since 328 + 90 + 0 + 8 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3289008195 and 3289008204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1404991 + ... + 1407329.

Almost surely, 2^3289008240 is an apocalyptic number.

3289008240 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 3289008240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6740997120).

3289008240 is an abundant number, since it is smaller than the sum of its proper divisors (10192986000).

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

3289008240 is a wasteful number, since it uses less digits than its factorization.

3289008240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2387 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3289008240 is about 57349.8756755409. The cubic root of 3289008240 is about 1487.1507250466.

The spelling of 3289008240 in words is "three billion, two hundred eighty-nine million, eight thousand, two hundred forty".