3362420880 has 960 divisors, whose sum is σ = 15230691840. Its totient is φ = 644972544.

The previous prime is 3362420879. The next prime is 3362420927. The reversal of 3362420880 is 880242633.

3362420880 is a `hidden beast` number, since 3 + 3 + 624 + 20 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×3362420880² = 22611748348519948800, which contains 22 as substring.

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

It is a zygodrome in base 3.

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 191 ways as a sum of consecutive naturals, for example, 46060524 + ... + 46060596.

It is an arithmetic number, because the mean of its divisors is an integer number (15865304).

Almost surely, 2^3362420880 is an apocalyptic number.

3362420880 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 3362420880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7615345920).

3362420880 is an abundant number, since it is smaller than the sum of its proper divisors (11868270960).

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

3362420880 is a wasteful number, since it uses less digits than its factorization.

3362420880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3362420880 is about 57986.3852986199. The cubic root of 3362420880 is about 1498.1341065903.

The spelling of 3362420880 in words is "three billion, three hundred sixty-two million, four hundred twenty thousand, eight hundred eighty".