3280907520 has 432 divisors, whose sum is σ = 13120615872. Its totient is φ = 748093440.

The previous prime is 3280907507. The next prime is 3280907527. The reversal of 3280907520 is 257090823.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3280907527) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2153479 + ... + 2155001.

It is an arithmetic number, because the mean of its divisors is an integer number (30371796).

Almost surely, 2^3280907520 is an apocalyptic number.

3280907520 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 3280907520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6560307936).

3280907520 is an abundant number, since it is smaller than the sum of its proper divisors (9839708352).

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

3280907520 is a wasteful number, since it uses less digits than its factorization.

3280907520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3280907520 is about 57279.2066984172. The cubic root of 3280907520 is about 1485.9287867249.

The spelling of 3280907520 in words is "three billion, two hundred eighty million, nine hundred seven thousand, five hundred twenty".