3338790144 has 72 divisors (see below), whose sum is σ = 8986078080. Its totient is φ = 1100402688.

The previous prime is 3338790139. The next prime is 3338790151. The reversal of 3338790144 is 4410978333.

It is a super-2 number, since 2×3338790144² = 22295039251343081472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3338790096 and 3338790105.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 43929 + ... + 92775.

It is an arithmetic number, because the mean of its divisors is an integer number (124806640).

Almost surely, 2^3338790144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3338790144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4493039040).

3338790144 is an abundant number, since it is smaller than the sum of its proper divisors (5647287936).

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

3338790144 is an equidigital number, since it uses as much as digits as its factorization.

3338790144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48955 (or 48941 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 3338790144 is about 57782.2649607992. The cubic root of 3338790144 is about 1494.6162770245.

The spelling of 3338790144 in words is "three billion, three hundred thirty-eight million, seven hundred ninety thousand, one hundred forty-four".