3382283520 has 1152 divisors, whose sum is σ = 15823503360. Its totient is φ = 663552000.

The previous prime is 3382283519. The next prime is 3382283533. The reversal of 3382283520 is 253822833.

It is a happy number.

3382283520 is a `hidden beast` number, since 3 + 38 + 22 + 83 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×3382283520² = 22879683619327180800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82494700 + ... + 82494740.

It is an arithmetic number, because the mean of its divisors is an integer number (13735680).

Almost surely, 2^3382283520 is an apocalyptic number.

3382283520 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 3382283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7911751680).

3382283520 is an abundant number, since it is smaller than the sum of its proper divisors (12441219840).

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

3382283520 is a wasteful number, since it uses less digits than its factorization.

3382283520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3382283520 is about 58157.4029681519. The cubic root of 3382283520 is about 1501.0782647111.

The spelling of 3382283520 in words is "three billion, three hundred eighty-two million, two hundred eighty-three thousand, five hundred twenty".