3280928507136 has 864 divisors, whose sum is σ = 11787254169600. Its totient is φ = 856499650560.

The previous prime is 3280928507107. The next prime is 3280928507137. The reversal of 3280928507136 is 6317058290823.

3280928507136 is a `hidden beast` number, since 3 + 2 + 80 + 9 + 28 + 507 + 1 + 36 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3280928507137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5405153745 + ... + 5405154351.

Almost surely, 2^{3280928507136} is an apocalyptic number.

3280928507136 is a gapful number since it is divisible by the number (36) 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 3280928507136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5893627084800).

3280928507136 is an abundant number, since it is smaller than the sum of its proper divisors (8506325662464).

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

3280928507136 is a wasteful number, since it uses less digits than its factorization.

3280928507136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 3280928507136 in words is "three trillion, two hundred eighty billion, nine hundred twenty-eight million, five hundred seven thousand, one hundred thirty-six".