3380412672 has 432 divisors, whose sum is σ = 12535181568. Its totient is φ = 851558400.

The previous prime is 3380412671. The next prime is 3380412677. The reversal of 3380412672 is 2762140833.

It is a happy number.

It is a super-2 number, since 2×3380412672² = 22854379666036359168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3380412671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4821922 + ... + 4822622.

It is an arithmetic number, because the mean of its divisors is an integer number (29016624).

Almost surely, 2^3380412672 is an apocalyptic number.

3380412672 is a gapful number since it is divisible by the number (32) 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 3380412672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6267590784).

3380412672 is an abundant number, since it is smaller than the sum of its proper divisors (9154768896).

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

3380412672 is a wasteful number, since it uses less digits than its factorization.

3380412672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3380412672 is about 58141.3163937660. The cubic root of 3380412672 is about 1500.8014490434.

The spelling of 3380412672 in words is "three billion, three hundred eighty million, four hundred twelve thousand, six hundred seventy-two".