3309727056090 has 128 divisors (see below), whose sum is σ = 9801053498880. Its totient is φ = 696556827648.

The previous prime is 3309727056071. The next prime is 3309727056121. The reversal of 3309727056090 is 906507279033.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 443085 + ... + 2610704.

It is an arithmetic number, because the mean of its divisors is an integer number (76570730460).

Almost surely, 2^{3309727056090} is an apocalyptic number.

3309727056090 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 3309727056090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4900526749440).

3309727056090 is an abundant number, since it is smaller than the sum of its proper divisors (6491326442790).

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

3309727056090 is a wasteful number, since it uses less digits than its factorization.

3309727056090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054216.

The product of its (nonzero) digits is 2143260, while the sum is 51.

The spelling of 3309727056090 in words is "three trillion, three hundred nine billion, seven hundred twenty-seven million, fifty-six thousand, ninety".