3268075680 has 384 divisors, whose sum is σ = 11913834240. Its totient is φ = 836075520.

The previous prime is 3268075669. The next prime is 3268075687. The reversal of 3268075680 is 865708623.

3268075680 is a `hidden beast` number, since 3 + 2 + 6 + 80 + 7 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3268075687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13560360 + ... + 13560600.

It is an arithmetic number, because the mean of its divisors is an integer number (31025610).

Almost surely, 2^3268075680 is an apocalyptic number.

3268075680 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 3268075680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5956917120).

3268075680 is an abundant number, since it is smaller than the sum of its proper divisors (8645758560).

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

3268075680 is a wasteful number, since it uses less digits than its factorization.

3268075680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 3268075680 is about 57167.0856350050. The cubic root of 3268075680 is about 1483.9890680993.

The spelling of 3268075680 in words is "three billion, two hundred sixty-eight million, seventy-five thousand, six hundred eighty".