3350384640 has 416 divisors, whose sum is σ = 12219661440. Its totient is φ = 870580224.

The previous prime is 3350384621. The next prime is 3350384711. The reversal of 3350384640 is 464830533.

3350384640 is a `hidden beast` number, since 3 + 3 + 5 + 0 + 3 + 8 + 4 + 640 = 666.

It is a super-2 number, since 2×3350384640² = 22450154471895859200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3350384595 and 3350384604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40366039 + ... + 40366121.

Almost surely, 2^3350384640 is an apocalyptic number.

3350384640 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 3350384640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109830720).

3350384640 is an abundant number, since it is smaller than the sum of its proper divisors (8869276800).

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

3350384640 is an equidigital number, since it uses as much as digits as its factorization.

3350384640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 166 counting only the distinct ones).

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

The square root of 3350384640 is about 57882.5072020900. The cubic root of 3350384640 is about 1496.3443781901.

The spelling of 3350384640 in words is "three billion, three hundred fifty million, three hundred eighty-four thousand, six hundred forty".