3400460728337 has 2 divisors, whose sum is σ = 3400460728338. Its totient is φ = 3400460728336.

The previous prime is 3400460728241. The next prime is 3400460728369. The reversal of 3400460728337 is 7338270640043.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2309430341761 + 1091030386576 = 1519681^2 + 1044524^2 .

It is a cyclic number.

It is not a de Polignac number, because 3400460728337 - 2²⁰ = 3400459679761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3400460728291 and 3400460728300.

It is not a weakly prime, because it can be changed into another prime (3400460748337) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1700230364168 + 1700230364169.

It is an arithmetic number, because the mean of its divisors is an integer number (1700230364169).

Almost surely, 2^{3400460728337} is an apocalyptic number.

It is an amenable number.

3400460728337 is a deficient number, since it is larger than the sum of its proper divisors (1).

3400460728337 is an equidigital number, since it uses as much as digits as its factorization.

3400460728337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2032128, while the sum is 47.

The spelling of 3400460728337 in words is "three trillion, four hundred billion, four hundred sixty million, seven hundred twenty-eight thousand, three hundred thirty-seven".