3382873888 has 48 divisors (see below), whose sum is σ = 6862774464. Its totient is φ = 1640252160.

The previous prime is 3382873859. The next prime is 3382873903. The reversal of 3382873888 is 8883782833.

It is a super-2 number, since 2×3382873888² = 22887671484224473088, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 363631 + ... + 372817.

It is an arithmetic number, because the mean of its divisors is an integer number (142974468).

Almost surely, 2^3382873888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3382873888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431387232).

3382873888 is an abundant number, since it is smaller than the sum of its proper divisors (3479900576).

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

3382873888 is a wasteful number, since it uses less digits than its factorization.

3382873888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9545 (or 9537 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 58.

The square root of 3382873888 is about 58162.4783515971. The cubic root of 3382873888 is about 1501.1655959487.

The spelling of 3382873888 in words is "three billion, three hundred eighty-two million, eight hundred seventy-three thousand, eight hundred eighty-eight".