3382654320 has 120 divisors (see below), whose sum is σ = 11370674016. Its totient is φ = 901200384.

The previous prime is 3382654313. The next prime is 3382654421. The reversal of 3382654320 is 234562833.

It is a happy number.

3382654320 is a `hidden beast` number, since 33 + 82 + 6 + 543 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3382654320² = 22884700497229324800, 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1350189 + ... + 1352691.

Almost surely, 2^3382654320 is an apocalyptic number.

3382654320 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 3382654320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5685337008).

3382654320 is an abundant number, since it is smaller than the sum of its proper divisors (7988019696).

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

3382654320 is a wasteful number, since it uses less digits than its factorization.

3382654320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4399 (or 4390 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3382654320 is about 58160.5907810435. The cubic root of 3382654320 is about 1501.1331171481.

The spelling of 3382654320 in words is "three billion, three hundred eighty-two million, six hundred fifty-four thousand, three hundred twenty".