3457728890385 has 192 divisors, whose sum is σ = 7094081820672. Its totient is φ = 1397122560000.

The previous prime is 3457728890381. The next prime is 3457728890419. The reversal of 3457728890385 is 5830988277543.

It is not a de Polignac number, because 3457728890385 - 2² = 3457728890381 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3457728890381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 596054485 + ... + 596060285.

It is an arithmetic number, because the mean of its divisors is an integer number (36948342816).

Almost surely, 2^{3457728890385} is an apocalyptic number.

3457728890385 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3457728890385 is an abundant number, since it is smaller than the sum of its proper divisors (3636352930287).

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

3457728890385 is a wasteful number, since it uses less digits than its factorization.

3457728890385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6216 (or 6175 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 69.

The spelling of 3457728890385 in words is "three trillion, four hundred fifty-seven billion, seven hundred twenty-eight million, eight hundred ninety thousand, three hundred eighty-five".