3403685528464 has 135 divisors (see below), whose sum is σ = 7589343365427. Its totient is φ = 1477815585792.

The previous prime is 3403685528459. The next prime is 3403685528479. The reversal of 3403685528464 is 4648255863043.

It is a happy number.

The square root of 3403685528464 is 1844908.

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

3403685528464 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 4 ways, for example, as 30732894864 + 3372952633600 = 175308^2 + 1836560^2 .

It is a super-3 number, since 3×3403685528464³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3403685528399 and 3403685528408.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1630897629 + ... + 1630899715.

Almost surely, 2^{3403685528464} is an apocalyptic number.

3403685528464 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3403685528464 is the 1844908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3403685528464

3403685528464 is an abundant number, since it is smaller than the sum of its proper divisors (4185657836963).

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

3403685528464 is an equidigital number, since it uses as much as digits as its factorization.

3403685528464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4242 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 58.

It can be divided in two parts, 34036 and 85528464, that added together give a square (85562500 = 9250²).

The spelling of 3403685528464 in words is "three trillion, four hundred three billion, six hundred eighty-five million, five hundred twenty-eight thousand, four hundred sixty-four".