3455338193316 has 135 divisors (see below), whose sum is σ = 8985871175281. Its totient is φ = 1119535716288.

The previous prime is 3455338193311. The next prime is 3455338193339. The reversal of 3455338193316 is 6133918335543.

The square root of 3455338193316 is 1858854.

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

3455338193316 is a `hidden beast` number, since 3 + 4 + 5 + 533 + 8 + 1 + 93 + 3 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 663498218916 + 2791839974400 = 814554^2 + 1670880^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3455338193311) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 38824024600 + ... + 38824024688.

Almost surely, 2^{3455338193316} is an apocalyptic number.

3455338193316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3455338193316 is the 1858854-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3455338193316

3455338193316 is an abundant number, since it is smaller than the sum of its proper divisors (5530532981965).

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

3455338193316 is an frugal number, since it uses more digits than its factorization.

3455338193316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 153 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 54.

The spelling of 3455338193316 in words is "three trillion, four hundred fifty-five billion, three hundred thirty-eight million, one hundred ninety-three thousand, three hundred sixteen".