3344760144 has 120 divisors (see below), whose sum is σ = 10341302400. Its totient is φ = 1000696320.

The previous prime is 3344760127. The next prime is 3344760161. The reversal of 3344760144 is 4410674433.

3344760144 is a `hidden beast` number, since 3 + 3 + 4 + 4 + 7 + 601 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (3344760127) and next prime (3344760161).

It is a super-2 number, since 2×3344760144² = 22374840841781801472, 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 = 3344760099 and 3344760108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111772 + ... + 138500.

It is an arithmetic number, because the mean of its divisors is an integer number (86177520).

Almost surely, 2^3344760144 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 3344760144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170651200).

3344760144 is an abundant number, since it is smaller than the sum of its proper divisors (6996542256).

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

3344760144 is a wasteful number, since it uses less digits than its factorization.

3344760144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26833 (or 26824 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3344760144 is about 57833.9013382289. The cubic root of 3344760144 is about 1495.5065741906.

The spelling of 3344760144 in words is "three billion, three hundred forty-four million, seven hundred sixty thousand, one hundred forty-four".