3286797696 has 384 divisors, whose sum is σ = 12160562400. Its totient is φ = 866267136.

The previous prime is 3286797691. The next prime is 3286797721. The reversal of 3286797696 is 6967976823.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3286797691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2200726 + ... + 2202218.

Almost surely, 2^3286797696 is an apocalyptic number.

3286797696 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 3286797696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6080281200).

3286797696 is an abundant number, since it is smaller than the sum of its proper divisors (8873764704).

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

3286797696 is a wasteful number, since it uses less digits than its factorization.

3286797696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1518 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The square root of 3286797696 is about 57330.5999968603. The cubic root of 3286797696 is about 1486.8174788076.

The spelling of 3286797696 in words is "three billion, two hundred eighty-six million, seven hundred ninety-seven thousand, six hundred ninety-six".