3382674880 has 112 divisors (see below), whose sum is σ = 9131381280. Its totient is φ = 1183223808.

The previous prime is 3382674871. The next prime is 3382674881. The reversal of 3382674880 is 884762833.

It is a super-2 number, since 2×3382674880² = 22884978687566028800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3382674881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57642 + ... + 100438.

It is an arithmetic number, because the mean of its divisors is an integer number (81530190).

Almost surely, 2^3382674880 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 3382674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4565690640).

3382674880 is an abundant number, since it is smaller than the sum of its proper divisors (5748706400).

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

3382674880 is a wasteful number, since it uses less digits than its factorization.

3382674880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42846 (or 42836 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The square root of 3382674880 is about 58160.7675327622. The cubic root of 3382674880 is about 1501.1361584713.

The spelling of 3382674880 in words is "three billion, three hundred eighty-two million, six hundred seventy-four thousand, eight hundred eighty".