3267928560 has 160 divisors (see below), whose sum is σ = 11484264960. Its totient is φ = 762061824.

The previous prime is 3267928529. The next prime is 3267928583. The reversal of 3267928560 is 658297623.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 31717 + ... + 86843.

It is an arithmetic number, because the mean of its divisors is an integer number (71776656).

Almost surely, 2^3267928560 is an apocalyptic number.

3267928560 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 3267928560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5742132480).

3267928560 is an abundant number, since it is smaller than the sum of its proper divisors (8216336400).

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

3267928560 is a wasteful number, since it uses less digits than its factorization.

3267928560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55175 (or 55169 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 3267928560 is about 57165.7988661052. The cubic root of 3267928560 is about 1483.9667993628.

The spelling of 3267928560 in words is "three billion, two hundred sixty-seven million, nine hundred twenty-eight thousand, five hundred sixty".