3386820558 has 64 divisors (see below), whose sum is σ = 7517214720. Its totient is φ = 1008655200.

The previous prime is 3386820551. The next prime is 3386820571. The reversal of 3386820558 is 8550286833.

It is a super-3 number, since 3×3386820558³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3386820551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1775041 + ... + 1776947.

It is an arithmetic number, because the mean of its divisors is an integer number (117456480).

Almost surely, 2^3386820558 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3386820558, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3758607360).

3386820558 is an abundant number, since it is smaller than the sum of its proper divisors (4130394162).

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

3386820558 is a wasteful number, since it uses less digits than its factorization.

3386820558 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2373.

The product of its (nonzero) digits is 1382400, while the sum is 48.

The square root of 3386820558 is about 58196.3964348309. The cubic root of 3386820558 is about 1501.7491532935.

The spelling of 3386820558 in words is "three billion, three hundred eighty-six million, eight hundred twenty thousand, five hundred fifty-eight".