3382585776 has 60 divisors (see below), whose sum is σ = 9490311480. Its totient is φ = 1124697600.

The previous prime is 3382585753. The next prime is 3382585807. The reversal of 3382585776 is 6775852833.

3382585776 is a `hidden beast` number, since 338 + 258 + 57 + 7 + 6 = 666.

It is a super-2 number, since 2×3382585776² = 22883773063995044352, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28455 + ... + 87033.

It is an arithmetic number, because the mean of its divisors is an integer number (158171858).

Almost surely, 2^3382585776 is an apocalyptic number.

3382585776 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3382585776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4745155740).

3382585776 is an abundant number, since it is smaller than the sum of its proper divisors (6107725704).

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

3382585776 is a wasteful number, since it uses less digits than its factorization.

3382585776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58994 (or 58985 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The square root of 3382585776 is about 58160.0015130674. The cubic root of 3382585776 is about 1501.1229777375.

The spelling of 3382585776 in words is "three billion, three hundred eighty-two million, five hundred eighty-five thousand, seven hundred seventy-six".