3484361101264 has 80 divisors (see below), whose sum is σ = 7047877813200. Its totient is φ = 1667195678720.

The previous prime is 3484361101181. The next prime is 3484361101267. The reversal of 3484361101264 is 4621011634843.

It can be written as a sum of positive squares in 8 ways, for example, as 5419904400 + 3478941196864 = 73620^2 + 1865192^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3484361101264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3484361101267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169553262 + ... + 169573810.

It is an arithmetic number, because the mean of its divisors is an integer number (88098472665).

Almost surely, 2^{3484361101264} is an apocalyptic number.

It is an amenable number.

3484361101264 is an abundant number, since it is smaller than the sum of its proper divisors (3563516711936).

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

3484361101264 is a wasteful number, since it uses less digits than its factorization.

3484361101264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25528 (or 25522 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

The spelling of 3484361101264 in words is "three trillion, four hundred eighty-four billion, three hundred sixty-one million, one hundred one thousand, two hundred sixty-four".