3329475840 has 360 divisors, whose sum is σ = 12620943720. Its totient is φ = 835190784.

The previous prime is 3329475781. The next prime is 3329475841. The reversal of 3329475840 is 485749233.

3329475840 is a `hidden beast` number, since 3 + 3 + 29 + 47 + 584 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 656999424 + 2672476416 = 25632^2 + 51696^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×3329475840² = 22170818738287411200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3329475841) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1761616 + ... + 1763504.

It is an arithmetic number, because the mean of its divisors is an integer number (35058177).

Almost surely, 2^3329475840 is an apocalyptic number.

3329475840 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 3329475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6310471860).

3329475840 is an abundant number, since it is smaller than the sum of its proper divisors (9291467880).

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

3329475840 is a wasteful number, since it uses less digits than its factorization.

3329475840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3329475840 is about 57701.6103761411. The cubic root of 3329475840 is about 1493.2251267968.

The spelling of 3329475840 in words is "three billion, three hundred twenty-nine million, four hundred seventy-five thousand, eight hundred forty".