3268193280 has 528 divisors, whose sum is σ = 12323660544. Its totient is φ = 731709440.

The previous prime is 3268193231. The next prime is 3268193281. The reversal of 3268193280 is 823918623.

It is a tau number, because it is divible by the number of its divisors (528).

It is not an unprimeable number, because it can be changed into a prime (3268193281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112696306 + ... + 112696334.

Almost surely, 2^3268193280 is an apocalyptic number.

3268193280 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 3268193280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6161830272).

3268193280 is an abundant number, since it is smaller than the sum of its proper divisors (9055467264).

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

3268193280 is a wasteful number, since it uses less digits than its factorization.

3268193280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 3268193280 is about 57168.1141896425. The cubic root of 3268193280 is about 1484.0068680768.

The spelling of 3268193280 in words is "three billion, two hundred sixty-eight million, one hundred ninety-three thousand, two hundred eighty".