3005685026190 has 768 divisors, whose sum is σ = 10294944251904. Its totient is φ = 590246092800.

The previous prime is 3005685026189. The next prime is 3005685026219. The reversal of 3005685026190 is 916205865003.

3005685026190 is a `hidden beast` number, since 3 + 0 + 0 + 56 + 8 + 502 + 6 + 1 + 90 = 666.

It is a super-2 number, since 2×3005685026190² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3153918754 + ... + 3153919706.

It is an arithmetic number, because the mean of its divisors is an integer number (13404875328).

Almost surely, 2^{3005685026190} is an apocalyptic number.

3005685026190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3005685026190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5147472125952).

3005685026190 is an abundant number, since it is smaller than the sum of its proper divisors (7289259225714).

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

3005685026190 is a wasteful number, since it uses less digits than its factorization.

3005685026190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 3005685026190 in words is "three trillion, five billion, six hundred eighty-five million, twenty-six thousand, one hundred ninety".