3289098234240 has 4096 divisors, whose sum is σ = 16187351040000. Its totient is φ = 632073093120.

The previous prime is 3289098234179. The next prime is 3289098234251. The reversal of 3289098234240 is 424328909823.

3289098234240 is a `hidden beast` number, since 3 + 2 + 89 + 0 + 98 + 234 + 240 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 106099943025 + ... + 106099943055.

It is an arithmetic number, because the mean of its divisors is an integer number (3951990000).

Almost surely, 2^{3289098234240} is an apocalyptic number.

3289098234240 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 3289098234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8093675520000).

3289098234240 is an abundant number, since it is smaller than the sum of its proper divisors (12898252805760).

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

3289098234240 is an equidigital number, since it uses as much as digits as its factorization.

3289098234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 3289098234240 in words is "three trillion, two hundred eighty-nine billion, ninety-eight million, two hundred thirty-four thousand, two hundred forty".