3268674864 has 640 divisors, whose sum is σ = 12579194880. Its totient is φ = 788299776.

The previous prime is 3268674833. The next prime is 3268674869. The reversal of 3268674864 is 4684768623.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3268674864.

It is not an unprimeable number, because it can be changed into a prime (3268674869) 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 127 ways as a sum of consecutive naturals, for example, 44776332 + ... + 44776404.

It is an arithmetic number, because the mean of its divisors is an integer number (19654992).

Almost surely, 2^3268674864 is an apocalyptic number.

3268674864 is a gapful number since it is divisible by the number (34) 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 3268674864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6289597440).

3268674864 is an abundant number, since it is smaller than the sum of its proper divisors (9310520016).

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

3268674864 is a wasteful number, since it uses less digits than its factorization.

3268674864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 182 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The square root of 3268674864 is about 57172.3260327932. The cubic root of 3268674864 is about 1484.0797563468.

The spelling of 3268674864 in words is "three billion, two hundred sixty-eight million, six hundred seventy-four thousand, eight hundred sixty-four".