3329168640 has 144 divisors (see below), whose sum is σ = 12151563648. Its totient is φ = 760946688.

The previous prime is 3329168611. The next prime is 3329168653. The reversal of 3329168640 is 468619233.

It is a super-2 number, since 2×3329168640² = 22166727667118899200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3329168592 and 3329168601.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 35047 + ... + 88806.

Almost surely, 2^3329168640 is an apocalyptic number.

3329168640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3329168640 is an abundant number, since it is smaller than the sum of its proper divisors (8822395008).

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

3329168640 is a wasteful number, since it uses less digits than its factorization.

3329168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123884 (or 123870 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 3329168640 is about 57698.9483439690. The cubic root of 3329168640 is about 1493.1792003617.

The spelling of 3329168640 in words is "three billion, three hundred twenty-nine million, one hundred sixty-eight thousand, six hundred forty".