3362104566 has 48 divisors (see below), whose sum is σ = 7589956608. Its totient is φ = 1074394800.

The previous prime is 3362104561. The next prime is 3362104607. The reversal of 3362104566 is 6654012633.

3362104566 is a `hidden beast` number, since 33 + 62 + 1 + 0 + 4 + 566 = 666.

3362104566 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3362104566² = 22607494225436096712, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3362104566.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3362104561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31551 + ... + 87861.

It is an arithmetic number, because the mean of its divisors is an integer number (158124096).

Almost surely, 2^3362104566 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3362104566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3794978304).

3362104566 is an abundant number, since it is smaller than the sum of its proper divisors (4227852042).

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

3362104566 is a wasteful number, since it uses less digits than its factorization.

3362104566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56457 (or 56454 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3362104566 is about 57983.6577494038. The cubic root of 3362104566 is about 1498.0871269815.

The spelling of 3362104566 in words is "three billion, three hundred sixty-two million, one hundred four thousand, five hundred sixty-six".