3305379840 has 384 divisors, whose sum is σ = 12737088000. Its totient is φ = 714866688.

The previous prime is 3305379839. The next prime is 3305379863. The reversal of 3305379840 is 489735033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 3305379792 and 3305379801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4085356 + ... + 4086164.

It is an arithmetic number, because the mean of its divisors is an integer number (33169500).

Almost surely, 2^3305379840 is an apocalyptic number.

3305379840 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 3305379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368544000).

3305379840 is an abundant number, since it is smaller than the sum of its proper divisors (9431708160).

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

3305379840 is a wasteful number, since it uses less digits than its factorization.

3305379840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 3305379840 is about 57492.4328933817. The cubic root of 3305379840 is about 1489.6141577090.

The spelling of 3305379840 in words is "three billion, three hundred five million, three hundred seventy-nine thousand, eight hundred forty".