3266264736 has 180 divisors, whose sum is σ = 11174753898. Its totient is φ = 933182208.

The previous prime is 3266264681. The next prime is 3266264741. The reversal of 3266264736 is 6374626623.

3266264736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2668755600 + 597509136 = 51660^2 + 24444^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 3266264691 and 3266264700.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 114150 + ... + 139866.

Almost surely, 2^3266264736 is an apocalyptic number.

3266264736 is a gapful number since it is divisible by the number (36) 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 3266264736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5587376949).

3266264736 is an abundant number, since it is smaller than the sum of its proper divisors (7908489162).

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

3266264736 is a wasteful number, since it uses less digits than its factorization.

3266264736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25753 (or 25729 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 45.

The square root of 3266264736 is about 57151.2443959010. The cubic root of 3266264736 is about 1483.7149090415.

The spelling of 3266264736 in words is "three billion, two hundred sixty-six million, two hundred sixty-four thousand, seven hundred thirty-six".