3382015680 has 672 divisors, whose sum is σ = 13207154688. Its totient is φ = 821145600.

The previous prime is 3382015669. The next prime is 3382015723. The reversal of 3382015680 is 865102833.

It is a super-2 number, since 2×3382015680² = 22876060119531724800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55442850 + ... + 55442910.

It is an arithmetic number, because the mean of its divisors is an integer number (19653504).

Almost surely, 2^3382015680 is an apocalyptic number.

3382015680 is a gapful number since it is divisible by the number (30) 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 3382015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6603577344).

3382015680 is an abundant number, since it is smaller than the sum of its proper divisors (9825139008).

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

3382015680 is a wasteful number, since it uses less digits than its factorization.

3382015680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3382015680 is about 58155.1002062588. The cubic root of 3382015680 is about 1501.0386406511.

The spelling of 3382015680 in words is "three billion, three hundred eighty-two million, fifteen thousand, six hundred eighty".