3345006892096 has 21 divisors (see below), whose sum is σ = 6637777085989. Its totient is φ = 1672496130304.

The previous prime is 3345006892093. The next prime is 3345006892103. The reversal of 3345006892096 is 6902986005433.

The square root of 3345006892096 is 1828936.

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

It can be written as a sum of positive squares in only one way, i.e., 1097214350400 + 2247792541696 = 1047480^2 + 1499264^2 .

It is a super-2 number, since 2×3345006892096² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3345006892093) 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 2 ways as a sum of consecutive naturals, for example, 14517180 + ... + 14745796.

Almost surely, 2^{3345006892096} is an apocalyptic number.

3345006892096 is the 1828936-th square number.

It is an amenable number.

3345006892096 is a deficient number, since it is larger than the sum of its proper divisors (3292770193893).

3345006892096 is an frugal number, since it uses more digits than its factorization.

3345006892096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457246 (or 228619 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 55.

The spelling of 3345006892096 in words is "three trillion, three hundred forty-five billion, six million, eight hundred ninety-two thousand, ninety-six".