3280725504 has 240 divisors, whose sum is σ = 11224781568. Its totient is φ = 937101312.

The previous prime is 3280725499. The next prime is 3280725517. The reversal of 3280725504 is 4055270823.

3280725504 is a `hidden beast` number, since 3 + 2 + 80 + 72 + 5 + 504 = 666.

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

It is a congruent number.

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, 869029 + ... + 872795.

Almost surely, 2^3280725504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3280725504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5612390784).

3280725504 is an abundant number, since it is smaller than the sum of its proper divisors (7944056064).

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

3280725504 is an frugal number, since it uses more digits than its factorization.

3280725504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 3280725504 is about 57277.6178275598. The cubic root of 3280725504 is about 1485.9013077612.

It can be divided in two parts, 32807 and 25504, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 3280725504 in words is "three billion, two hundred eighty million, seven hundred twenty-five thousand, five hundred four".