3345006892095 has 192 divisors, whose sum is σ = 6684989875200. Its totient is φ = 1531438571520.

The previous prime is 3345006892093. The next prime is 3345006892103. The reversal of 3345006892095 is 5902986005433.

3345006892095 is a `hidden beast` number, since 3 + 3 + 450 + 0 + 6 + 89 + 20 + 95 = 666.

3345006892095 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1828936²-1.

It is not a de Polignac number, because 3345006892095 - 2¹ = 3345006892093 is a prime.

It is a super-2 number, since 2×3345006892095² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3345006892093) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 462716941 + ... + 462724169.

It is an arithmetic number, because the mean of its divisors is an integer number (34817655600).

Almost surely, 2^{3345006892095} is an apocalyptic number.

3345006892095 is a deficient number, since it is larger than the sum of its proper divisors (3339982983105).

3345006892095 is a wasteful number, since it uses less digits than its factorization.

3345006892095 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7790 (or 7787 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 3345006892095 in words is "three trillion, three hundred forty-five billion, six million, eight hundred ninety-two thousand, ninety-five".