3483764822076 has 192 divisors, whose sum is σ = 10215805501440. Its totient is φ = 897627744000.

The previous prime is 3483764822051. The next prime is 3483764822077. The reversal of 3483764822076 is 6702284673843.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3483764822077) 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, 555709870 + ... + 555716138.

It is an arithmetic number, because the mean of its divisors is an integer number (53207320320).

Almost surely, 2^{3483764822076} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3483764822076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5107902750720).

3483764822076 is an abundant number, since it is smaller than the sum of its proper divisors (6732040679364).

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

3483764822076 is a wasteful number, since it uses less digits than its factorization.

3483764822076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11016 (or 11014 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 60.

The spelling of 3483764822076 in words is "three trillion, four hundred eighty-three billion, seven hundred sixty-four million, eight hundred twenty-two thousand, seventy-six".