3266969760 has 336 divisors, whose sum is σ = 11900487816. Its totient is φ = 846526464.

The previous prime is 3266969753. The next prime is 3266969773. The reversal of 3266969760 is 679696623.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3166087824 + 100881936 = 56268^2 + 10044^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3266969697 and 3266969706.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4315302 + ... + 4316058.

Almost surely, 2^3266969760 is an apocalyptic number.

3266969760 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 3266969760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5950243908).

3266969760 is an abundant number, since it is smaller than the sum of its proper divisors (8633518056).

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

3266969760 is an equidigital number, since it uses as much as digits as its factorization.

3266969760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The square root of 3266969760 is about 57157.4121177647. The cubic root of 3266969760 is about 1483.8216547638.

The spelling of 3266969760 in words is "three billion, two hundred sixty-six million, nine hundred sixty-nine thousand, seven hundred sixty".