3368779440 has 160 divisors (see below), whose sum is σ = 11352773376. Its totient is φ = 821406720.

The previous prime is 3368779429. The next prime is 3368779507. The reversal of 3368779440 is 449778633.

It is a happy number.

It is a super-2 number, since 2×3368779440² = 22697349830733427200, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 328795 + ... + 338885.

Almost surely, 2^3368779440 is an apocalyptic number.

3368779440 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 3368779440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5676386688).

3368779440 is an abundant number, since it is smaller than the sum of its proper divisors (7983993936).

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

3368779440 is a wasteful number, since it uses less digits than its factorization.

3368779440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10227 (or 10221 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 51.

The square root of 3368779440 is about 58041.1874447792. The cubic root of 3368779440 is about 1499.0778687877.

The spelling of 3368779440 in words is "three billion, three hundred sixty-eight million, seven hundred seventy-nine thousand, four hundred forty".