3313960566 has 64 divisors (see below), whose sum is σ = 8022233088. Its totient is φ = 892143648.

The previous prime is 3313960547. The next prime is 3313960583. The reversal of 3313960566 is 6650693133.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39121 + ... + 90323.

It is an arithmetic number, because the mean of its divisors is an integer number (125347392).

Almost surely, 2^3313960566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3313960566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4011116544).

3313960566 is an abundant number, since it is smaller than the sum of its proper divisors (4708272522).

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

3313960566 is a wasteful number, since it uses less digits than its factorization.

3313960566 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51305.

The product of its (nonzero) digits is 262440, while the sum is 42.

The square root of 3313960566 is about 57567.0093543168. The cubic root of 3313960566 is about 1490.9020506655.

The spelling of 3313960566 in words is "three billion, three hundred thirteen million, nine hundred sixty thousand, five hundred sixty-six".