3486779413264 has 105 divisors (see below), whose sum is σ = 7887359993461. Its totient is φ = 1493236066560.

The previous prime is 3486779413241. The next prime is 3486779413393. The reversal of 3486779413264 is 4623149776843.

It is a happy number.

The square root of 3486779413264 is 1867292.

It is a perfect power (a square), and thus also a powerful number.

3486779413264 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., 592425774864 + 2894353638400 = 769692^2 + 1701280^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3486779413196 and 3486779413205.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2561923944 + ... + 2561925304.

Almost surely, 2^{3486779413264} is an apocalyptic number.

3486779413264 is the 1867292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3486779413264

3486779413264 is an abundant number, since it is smaller than the sum of its proper divisors (4400580580197).

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

3486779413264 is an frugal number, since it uses more digits than its factorization.

3486779413264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772 (or 1370 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 64.

Multiplying 3486779413264 by its sum of digits (64), we get a square (223153882448896 = 14938336²).

The spelling of 3486779413264 in words is "three trillion, four hundred eighty-six billion, seven hundred seventy-nine million, four hundred thirteen thousand, two hundred sixty-four".