3259284480 has 440 divisors, whose sum is σ = 12126755520. Its totient is φ = 836075520.

The previous prime is 3259284467. The next prime is 3259284493. The reversal of 3259284480 is 844829523.

3259284480 is a `hidden beast` number, since 3 + 2 + 5 + 92 + 84 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (3259284467) and next prime (3259284493).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12026745 + ... + 12027015.

It is an arithmetic number, because the mean of its divisors is an integer number (27560808).

Almost surely, 2^3259284480 is an apocalyptic number.

3259284480 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 3259284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6063377760).

3259284480 is an abundant number, since it is smaller than the sum of its proper divisors (8867471040).

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

3259284480 is a wasteful number, since it uses less digits than its factorization.

3259284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3259284480 is about 57090.1434575181. The cubic root of 3259284480 is about 1482.6572180502.

The spelling of 3259284480 in words is "three billion, two hundred fifty-nine million, two hundred eighty-four thousand, four hundred eighty".