3289361040 has 120 divisors (see below), whose sum is σ = 12624900288. Its totient is φ = 751852800.

The previous prime is 3289361029. The next prime is 3289361071. The reversal of 3289361040 is 401639823.

3289361040 is a `hidden beast` number, since 32 + 8 + 9 + 3 + 610 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 3289360986 and 3289361004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321286 + ... + 331365.

Almost surely, 2^3289361040 is an apocalyptic number.

3289361040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3289361040 is an abundant number, since it is smaller than the sum of its proper divisors (9335539248).

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

3289361040 is a wasteful number, since it uses less digits than its factorization.

3289361040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652677 (or 652668 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3289361040 is about 57352.9514497728. The cubic root of 3289361040 is about 1487.2038969025.

The spelling of 3289361040 in words is "three billion, two hundred eighty-nine million, three hundred sixty-one thousand, forty".