3280717440 has 768 divisors, whose sum is σ = 15237331200. Its totient is φ = 628162560.

The previous prime is 3280717439. The next prime is 3280717457. The reversal of 3280717440 is 447170823.

It is a happy number.

It is a super-2 number, since 2×3280717440² = 21526213842240307200, which contains 22 as substring.

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 = 3280717395 and 3280717404.

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 95 ways as a sum of consecutive naturals, for example, 5765476 + ... + 5766044.

It is an arithmetic number, because the mean of its divisors is an integer number (19840275).

Almost surely, 2^3280717440 is an apocalyptic number.

3280717440 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 3280717440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618665600).

3280717440 is an abundant number, since it is smaller than the sum of its proper divisors (11956613760).

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

3280717440 is a wasteful number, since it uses less digits than its factorization.

3280717440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 3280717440 is about 57277.5474335276. The cubic root of 3280717440 is about 1485.9000903153.

The spelling of 3280717440 in words is "three billion, two hundred eighty million, seven hundred seventeen thousand, four hundred forty".