3382891506 has 64 divisors (see below), whose sum is σ = 8078693760. Its totient is φ = 1045440000.

The previous prime is 3382891483. The next prime is 3382891517. The reversal of 3382891506 is 6051982833.

It is a happy number.

3382891506 is a `hidden beast` number, since 3 + 38 + 28 + 91 + 506 = 666.

It is a super-2 number, since 2×3382891506² = 22887909882733896072, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 34006 + ... + 89006.

It is an arithmetic number, because the mean of its divisors is an integer number (126229590).

Almost surely, 2^3382891506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3382891506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039346880).

3382891506 is an abundant number, since it is smaller than the sum of its proper divisors (4695802254).

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

3382891506 is a wasteful number, since it uses less digits than its factorization.

3382891506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55096 (or 55090 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 3382891506 is about 58162.6298064316. The cubic root of 3382891506 is about 1501.1682019666.

The spelling of 3382891506 in words is "three billion, three hundred eighty-two million, eight hundred ninety-one thousand, five hundred six".